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Finding the Fourth Proportional to 509,113.80, 763,670.70 and 506,003.40

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Solution

The fourth proportional to 509,113.80, 763,670.70 and 506,003.40 is: 759,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,113.80 : 763,670.70 = 506,003.40 : x
  2. Step 2: Convert to fraction form
    509,113.80/763,670.70 = 506,003.40/x
  3. Step 3: Cross multiply
    509,113.80x = 763,670.70 × 506,003.40
  4. Step 4: Simplify right side
    509,113.80x = 386,419,970,680.38
  5. Step 5: Solve for x
    x = 386,419,970,680.38/509,113.80
  6. Step 6: Final answer
    x = 759,005.10

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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.