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Finding the Fourth Proportional to 497,335, 746,007.78 and 398,125.96

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Solution

The fourth proportional to 497,335, 746,007.78 and 398,125.96 is: 597,193.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,335 : 746,007.78 = 398,125.96 : x
  2. Step 2: Convert to fraction form
    497,335/746,007.78 = 398,125.96/x
  3. Step 3: Cross multiply
    497,335x = 746,007.78 × 398,125.96
  4. Step 4: Simplify right side
    497,335x = 297,005,063,579.97
  5. Step 5: Solve for x
    x = 297,005,063,579.97/497,335
  6. Step 6: Final answer
    x = 597,193.17

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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.