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Finding the Fourth Proportional to 506,276.64, 698,675.76 and 279,930.24

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Solution

The fourth proportional to 506,276.64, 698,675.76 and 279,930.24 is: 386,311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,276.64 : 698,675.76 = 279,930.24 : x
  2. Step 2: Convert to fraction form
    506,276.64/698,675.76 = 279,930.24/x
  3. Step 3: Cross multiply
    506,276.64x = 698,675.76 × 279,930.24
  4. Step 4: Simplify right side
    506,276.64x = 195,580,473,178.98
  5. Step 5: Solve for x
    x = 195,580,473,178.98/506,276.64
  6. Step 6: Final answer
    x = 386,311.47

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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.