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Finding the Fourth Proportional to 527,139.90, 727,437.51 and 297,706.59

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Solution

The fourth proportional to 527,139.90, 727,437.51 and 297,706.59 is: 410,826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,139.90 : 727,437.51 = 297,706.59 : x
  2. Step 2: Convert to fraction form
    527,139.90/727,437.51 = 297,706.59/x
  3. Step 3: Cross multiply
    527,139.90x = 727,437.51 × 297,706.59
  4. Step 4: Simplify right side
    527,139.90x = 216,562,940,540.19
  5. Step 5: Solve for x
    x = 216,562,940,540.19/527,139.90
  6. Step 6: Final answer
    x = 410,826.31

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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.