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Finding the Fourth Proportional to 527,030.61, 727,298.91 and 285,311.42

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Solution

The fourth proportional to 527,030.61, 727,298.91 and 285,311.42 is: 393,727.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,030.61 : 727,298.91 = 285,311.42 : x
  2. Step 2: Convert to fraction form
    527,030.61/727,298.91 = 285,311.42/x
  3. Step 3: Cross multiply
    527,030.61x = 727,298.91 × 285,311.42
  4. Step 4: Simplify right side
    527,030.61x = 207,506,683,350.00
  5. Step 5: Solve for x
    x = 207,506,683,350.00/527,030.61
  6. Step 6: Final answer
    x = 393,727.96

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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.