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Finding the Fourth Proportional to 497,295.61, 745,948.63 and 398,086.45

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Solution

The fourth proportional to 497,295.61, 745,948.63 and 398,086.45 is: 597,133.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,295.61 : 745,948.63 = 398,086.45 : x
  2. Step 2: Convert to fraction form
    497,295.61/745,948.63 = 398,086.45/x
  3. Step 3: Cross multiply
    497,295.61x = 745,948.63 × 398,086.45
  4. Step 4: Simplify right side
    497,295.61x = 296,952,042,588.53
  5. Step 5: Solve for x
    x = 296,952,042,588.53/497,295.61
  6. Step 6: Final answer
    x = 597,133.85

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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.