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Finding the Fourth Proportional to 506,466.60, 698,822.82 and 280,068.36

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Solution

The fourth proportional to 506,466.60, 698,822.82 and 280,068.36 is: 386,438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,466.60 : 698,822.82 = 280,068.36 : x
  2. Step 2: Convert to fraction form
    506,466.60/698,822.82 = 280,068.36/x
  3. Step 3: Cross multiply
    506,466.60x = 698,822.82 × 280,068.36
  4. Step 4: Simplify right side
    506,466.60x = 195,718,161,127.98
  5. Step 5: Solve for x
    x = 195,718,161,127.98/506,466.60
  6. Step 6: Final answer
    x = 386,438.44

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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.