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Finding the Fourth Proportional to 291,708.50, 402,558.09 and 157,572.50

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Solution

The fourth proportional to 291,708.50, 402,558.09 and 157,572.50 is: 217,450.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,708.50 : 402,558.09 = 157,572.50 : x
  2. Step 2: Convert to fraction form
    291,708.50/402,558.09 = 157,572.50/x
  3. Step 3: Cross multiply
    291,708.50x = 402,558.09 × 157,572.50
  4. Step 4: Simplify right side
    291,708.50x = 63,432,084,636.53
  5. Step 5: Solve for x
    x = 63,432,084,636.53/291,708.50
  6. Step 6: Final answer
    x = 217,450.24

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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.