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Finding the Fourth Proportional to 1,489,488,697.96, 2,055,494,378.82 and 863,320,323.40

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Solution

The fourth proportional to 1,489,488,697.96, 2,055,494,378.82 and 863,320,323.40 is: 1,191,382,032.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489,488,697.96 : 2,055,494,378.82 = 863,320,323.40 : x
  2. Step 2: Convert to fraction form
    1,489,488,697.96/2,055,494,378.82 = 863,320,323.40/x
  3. Step 3: Cross multiply
    1,489,488,697.96x = 2,055,494,378.82 × 863,320,323.40
  4. Step 4: Simplify right side
    1,489,488,697.96x = 1,774,550,071,869,764,352
  5. Step 5: Solve for x
    x = 1,774,550,071,869,764,352/1,489,488,697.96
  6. Step 6: Final answer
    x = 1,191,382,032.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.