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Finding the Fourth Proportional to 497,373.90, 746,838.45 and 287,421.90

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Solution

The fourth proportional to 497,373.90, 746,838.45 and 287,421.90 is: 431,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,373.90 : 746,838.45 = 287,421.90 : x
  2. Step 2: Convert to fraction form
    497,373.90/746,838.45 = 287,421.90/x
  3. Step 3: Cross multiply
    497,373.90x = 746,838.45 × 287,421.90
  4. Step 4: Simplify right side
    497,373.90x = 214,657,726,292.06
  5. Step 5: Solve for x
    x = 214,657,726,292.06/497,373.90
  6. Step 6: Final answer
    x = 431,582.21

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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.