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Finding the Fourth Proportional to 457,329.22, 686,070.98 and 157,729.66

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Solution

The fourth proportional to 457,329.22, 686,070.98 and 157,729.66 is: 236,621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,329.22 : 686,070.98 = 157,729.66 : x
  2. Step 2: Convert to fraction form
    457,329.22/686,070.98 = 157,729.66/x
  3. Step 3: Cross multiply
    457,329.22x = 686,070.98 × 157,729.66
  4. Step 4: Simplify right side
    457,329.22x = 108,213,742,411.27
  5. Step 5: Solve for x
    x = 108,213,742,411.27/457,329.22
  6. Step 6: Final answer
    x = 236,621.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.