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Finding the Fourth Proportional to 527,043.84, 727,319.60 and 285,326.32

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Solution

The fourth proportional to 527,043.84, 727,319.60 and 285,326.32 is: 393,749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,043.84 : 727,319.60 = 285,326.32 : x
  2. Step 2: Convert to fraction form
    527,043.84/727,319.60 = 285,326.32/x
  3. Step 3: Cross multiply
    527,043.84x = 727,319.60 × 285,326.32
  4. Step 4: Simplify right side
    527,043.84x = 207,523,424,931.87
  5. Step 5: Solve for x
    x = 207,523,424,931.87/527,043.84
  6. Step 6: Final answer
    x = 393,749.83

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