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Finding the Fourth Proportional to 497,312.52, 745,973.97 and 398,103.38

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Solution

The fourth proportional to 497,312.52, 745,973.97 and 398,103.38 is: 597,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,312.52 : 745,973.97 = 398,103.38 : x
  2. Step 2: Convert to fraction form
    497,312.52/745,973.97 = 398,103.38/x
  3. Step 3: Cross multiply
    497,312.52x = 745,973.97 × 398,103.38
  4. Step 4: Simplify right side
    497,312.52x = 296,974,758,849.02
  5. Step 5: Solve for x
    x = 296,974,758,849.02/497,312.52
  6. Step 6: Final answer
    x = 597,159.22

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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.