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Finding the Fourth Proportional to 617,810.40, 925,731.45 and 458,378.10

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Solution

The fourth proportional to 617,810.40, 925,731.45 and 458,378.10 is: 686,836.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,810.40 : 925,731.45 = 458,378.10 : x
  2. Step 2: Convert to fraction form
    617,810.40/925,731.45 = 458,378.10/x
  3. Step 3: Cross multiply
    617,810.40x = 925,731.45 × 458,378.10
  4. Step 4: Simplify right side
    617,810.40x = 424,335,023,161.25
  5. Step 5: Solve for x
    x = 424,335,023,161.25/617,810.40
  6. Step 6: Final answer
    x = 686,836.97

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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.