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Finding the Fourth Proportional to 291,657.30, 402,487.11 and 157,521.30

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Solution

The fourth proportional to 291,657.30, 402,487.11 and 157,521.30 is: 217,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,657.30 : 402,487.11 = 157,521.30 : x
  2. Step 2: Convert to fraction form
    291,657.30/402,487.11 = 157,521.30/x
  3. Step 3: Cross multiply
    291,657.30x = 402,487.11 × 157,521.30
  4. Step 4: Simplify right side
    291,657.30x = 63,400,292,800.44
  5. Step 5: Solve for x
    x = 63,400,292,800.44/291,657.30
  6. Step 6: Final answer
    x = 217,379.41

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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.