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Finding the Fourth Proportional to 457,817.40, 686,726.10 and 432,012.60

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Solution

The fourth proportional to 457,817.40, 686,726.10 and 432,012.60 is: 648,018.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,817.40 : 686,726.10 = 432,012.60 : x
  2. Step 2: Convert to fraction form
    457,817.40/686,726.10 = 432,012.60/x
  3. Step 3: Cross multiply
    457,817.40x = 686,726.10 × 432,012.60
  4. Step 4: Simplify right side
    457,817.40x = 296,674,327,948.86
  5. Step 5: Solve for x
    x = 296,674,327,948.86/457,817.40
  6. Step 6: Final answer
    x = 648,018.90

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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.