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Finding the Fourth Proportional to 472,970.30, 709,455.45 and 140,546.30

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Solution

The fourth proportional to 472,970.30, 709,455.45 and 140,546.30 is: 210,819.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,970.30 : 709,455.45 = 140,546.30 : x
  2. Step 2: Convert to fraction form
    472,970.30/709,455.45 = 140,546.30/x
  3. Step 3: Cross multiply
    472,970.30x = 709,455.45 × 140,546.30
  4. Step 4: Simplify right side
    472,970.30x = 99,711,338,512.34
  5. Step 5: Solve for x
    x = 99,711,338,512.34/472,970.30
  6. Step 6: Final answer
    x = 210,819.45

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Similar ratio
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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.