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Finding the Fourth Proportional to 527,504.60, 727,956.72 and 309,670.70

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Solution

The fourth proportional to 527,504.60, 727,956.72 and 309,670.70 is: 427,345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,504.60 : 727,956.72 = 309,670.70 : x
  2. Step 2: Convert to fraction form
    527,504.60/727,956.72 = 309,670.70/x
  3. Step 3: Cross multiply
    527,504.60x = 727,956.72 × 309,670.70
  4. Step 4: Simplify right side
    527,504.60x = 225,426,863,412.32
  5. Step 5: Solve for x
    x = 225,426,863,412.32/527,504.60
  6. Step 6: Final answer
    x = 427,345.78

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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.