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Finding the Fourth Proportional to 457,706.30, 631,700.07 and 253,802.57

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Solution

The fourth proportional to 457,706.30, 631,700.07 and 253,802.57 is: 350,283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,706.30 : 631,700.07 = 253,802.57 : x
  2. Step 2: Convert to fraction form
    457,706.30/631,700.07 = 253,802.57/x
  3. Step 3: Cross multiply
    457,706.30x = 631,700.07 × 253,802.57
  4. Step 4: Simplify right side
    457,706.30x = 160,327,097,124.92
  5. Step 5: Solve for x
    x = 160,327,097,124.92/457,706.30
  6. Step 6: Final answer
    x = 350,283.79

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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.