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Finding the Fourth Proportional to 527,491.45, 727,937.34 and 285,780.16

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Solution

The fourth proportional to 527,491.45, 727,937.34 and 285,780.16 is: 394,376.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,491.45 : 727,937.34 = 285,780.16 : x
  2. Step 2: Convert to fraction form
    527,491.45/727,937.34 = 285,780.16/x
  3. Step 3: Cross multiply
    527,491.45x = 727,937.34 × 285,780.16
  4. Step 4: Simplify right side
    527,491.45x = 208,030,049,495.17
  5. Step 5: Solve for x
    x = 208,030,049,495.17/527,491.45
  6. Step 6: Final answer
    x = 394,376.15

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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.