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Finding the Fourth Proportional to 457,820.64, 631,761.64 and 253,864.06

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Solution

The fourth proportional to 457,820.64, 631,761.64 and 253,864.06 is: 350,315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,820.64 : 631,761.64 = 253,864.06 : x
  2. Step 2: Convert to fraction form
    457,820.64/631,761.64 = 253,864.06/x
  3. Step 3: Cross multiply
    457,820.64x = 631,761.64 × 253,864.06
  4. Step 4: Simplify right side
    457,820.64x = 160,381,572,668.59
  5. Step 5: Solve for x
    x = 160,381,572,668.59/457,820.64
  6. Step 6: Final answer
    x = 350,315.30

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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.