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Finding the Fourth Proportional to 291,681, 402,519.78 and 157,545

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Solution

The fourth proportional to 291,681, 402,519.78 and 157,545 is: 217,412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,681 : 402,519.78 = 157,545 : x
  2. Step 2: Convert to fraction form
    291,681/402,519.78 = 157,545/x
  3. Step 3: Cross multiply
    291,681x = 402,519.78 × 157,545
  4. Step 4: Simplify right side
    291,681x = 63,414,978,740.10
  5. Step 5: Solve for x
    x = 63,414,978,740.10/291,681
  6. Step 6: Final answer
    x = 217,412.10

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