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Finding the Fourth Proportional to 527,143.71, 727,429.50 and 309,323.06

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Solution

The fourth proportional to 527,143.71, 727,429.50 and 309,323.06 is: 426,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,143.71 : 727,429.50 = 309,323.06 : x
  2. Step 2: Convert to fraction form
    527,143.71/727,429.50 = 309,323.06/x
  3. Step 3: Cross multiply
    527,143.71x = 727,429.50 × 309,323.06
  4. Step 4: Simplify right side
    527,143.71x = 225,010,715,237.12
  5. Step 5: Solve for x
    x = 225,010,715,237.12/527,143.71
  6. Step 6: Final answer
    x = 426,848.90

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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.