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Finding the Fourth Proportional to 497,472.21, 686,622.42 and 316,148.76

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Solution

The fourth proportional to 497,472.21, 686,622.42 and 316,148.76 is: 436,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,472.21 : 686,622.42 = 316,148.76 : x
  2. Step 2: Convert to fraction form
    497,472.21/686,622.42 = 316,148.76/x
  3. Step 3: Cross multiply
    497,472.21x = 686,622.42 × 316,148.76
  4. Step 4: Simplify right side
    497,472.21x = 217,074,826,671.20
  5. Step 5: Solve for x
    x = 217,074,826,671.20/497,472.21
  6. Step 6: Final answer
    x = 436,355.68

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1.5x scale

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.