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Finding the Fourth Proportional to 527,488.99, 727,919.66 and 309,694.03

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Solution

The fourth proportional to 527,488.99, 727,919.66 and 309,694.03 is: 427,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,488.99 : 727,919.66 = 309,694.03 : x
  2. Step 2: Convert to fraction form
    527,488.99/727,919.66 = 309,694.03/x
  3. Step 3: Cross multiply
    527,488.99x = 727,919.66 × 309,694.03
  4. Step 4: Simplify right side
    527,488.99x = 225,432,371,473.16
  5. Step 5: Solve for x
    x = 225,432,371,473.16/527,488.99
  6. Step 6: Final answer
    x = 427,368.87

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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.