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Finding the Fourth Proportional to 900,952.30, 1,243,314 and 493,054.40

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Solution

The fourth proportional to 900,952.30, 1,243,314 and 493,054.40 is: 680,414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,952.30 : 1,243,314 = 493,054.40 : x
  2. Step 2: Convert to fraction form
    900,952.30/1,243,314 = 493,054.40/x
  3. Step 3: Cross multiply
    900,952.30x = 1,243,314 × 493,054.40
  4. Step 4: Simplify right side
    900,952.30x = 613,021,438,281.60
  5. Step 5: Solve for x
    x = 613,021,438,281.60/900,952.30
  6. Step 6: Final answer
    x = 680,414.98

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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.