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Finding the Fourth Proportional to 313,113.32, 469,726.14 and 146,897

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Solution

The fourth proportional to 313,113.32, 469,726.14 and 146,897 is: 220,371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,113.32 : 469,726.14 = 146,897 : x
  2. Step 2: Convert to fraction form
    313,113.32/469,726.14 = 146,897/x
  3. Step 3: Cross multiply
    313,113.32x = 469,726.14 × 146,897
  4. Step 4: Simplify right side
    313,113.32x = 69,001,360,787.58
  5. Step 5: Solve for x
    x = 69,001,360,787.58/313,113.32
  6. Step 6: Final answer
    x = 220,371.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.