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Finding the Fourth Proportional to 291,713.69, 402,564.80 and 157,577.69

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Solution

The fourth proportional to 291,713.69, 402,564.80 and 157,577.69 is: 217,457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,713.69 : 402,564.80 = 157,577.69 : x
  2. Step 2: Convert to fraction form
    291,713.69/402,564.80 = 157,577.69/x
  3. Step 3: Cross multiply
    291,713.69x = 402,564.80 × 157,577.69
  4. Step 4: Simplify right side
    291,713.69x = 63,435,231,259.31
  5. Step 5: Solve for x
    x = 63,435,231,259.31/291,713.69
  6. Step 6: Final answer
    x = 217,457.16

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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.