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Finding the Fourth Proportional to 506,437.14, 698,871.33 and 280,077.78

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Solution

The fourth proportional to 506,437.14, 698,871.33 and 280,077.78 is: 386,500.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,437.14 : 698,871.33 = 280,077.78 : x
  2. Step 2: Convert to fraction form
    506,437.14/698,871.33 = 280,077.78/x
  3. Step 3: Cross multiply
    506,437.14x = 698,871.33 × 280,077.78
  4. Step 4: Simplify right side
    506,437.14x = 195,738,330,612.05
  5. Step 5: Solve for x
    x = 195,738,330,612.05/506,437.14
  6. Step 6: Final answer
    x = 386,500.74

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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.