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Finding the Fourth Proportional to 475,288.62, 712,695.70 and 155,398.82

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Solution

The fourth proportional to 475,288.62, 712,695.70 and 155,398.82 is: 233,020.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,288.62 : 712,695.70 = 155,398.82 : x
  2. Step 2: Convert to fraction form
    475,288.62/712,695.70 = 155,398.82/x
  3. Step 3: Cross multiply
    475,288.62x = 712,695.70 × 155,398.82
  4. Step 4: Simplify right side
    475,288.62x = 110,752,070,799.07
  5. Step 5: Solve for x
    x = 110,752,070,799.07/475,288.62
  6. Step 6: Final answer
    x = 233,020.67

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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.