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Finding the Fourth Proportional to 768,041,810.12, 1,059,900,489.96 and 415,617,764.24

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Solution

The fourth proportional to 768,041,810.12, 1,059,900,489.96 and 415,617,764.24 is: 573,554,025.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,041,810.12 : 1,059,900,489.96 = 415,617,764.24 : x
  2. Step 2: Convert to fraction form
    768,041,810.12/1,059,900,489.96 = 415,617,764.24/x
  3. Step 3: Cross multiply
    768,041,810.12x = 1,059,900,489.96 × 415,617,764.24
  4. Step 4: Simplify right side
    768,041,810.12x = 440,513,471,954,055,808
  5. Step 5: Solve for x
    x = 440,513,471,954,055,808/768,041,810.12
  6. Step 6: Final answer
    x = 573,554,025.51

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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.