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Finding the Fourth Proportional to 498,428.70, 747,752.40 and 245,830.20

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Solution

The fourth proportional to 498,428.70, 747,752.40 and 245,830.20 is: 368,799.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,428.70 : 747,752.40 = 245,830.20 : x
  2. Step 2: Convert to fraction form
    498,428.70/747,752.40 = 245,830.20/x
  3. Step 3: Cross multiply
    498,428.70x = 747,752.40 × 245,830.20
  4. Step 4: Simplify right side
    498,428.70x = 183,820,122,042.48
  5. Step 5: Solve for x
    x = 183,820,122,042.48/498,428.70
  6. Step 6: Final answer
    x = 368,799.23

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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.