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Finding the Fourth Proportional to 506,363.38, 698,786.13 and 280,012.66

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Solution

The fourth proportional to 506,363.38, 698,786.13 and 280,012.66 is: 386,420.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,363.38 : 698,786.13 = 280,012.66 : x
  2. Step 2: Convert to fraction form
    506,363.38/698,786.13 = 280,012.66/x
  3. Step 3: Cross multiply
    506,363.38x = 698,786.13 × 280,012.66
  4. Step 4: Simplify right side
    506,363.38x = 195,668,963,032.41
  5. Step 5: Solve for x
    x = 195,668,963,032.41/506,363.38
  6. Step 6: Final answer
    x = 386,420.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.