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Finding the Fourth Proportional to 473,005.80, 709,508.70 and 421,684.20

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Solution

The fourth proportional to 473,005.80, 709,508.70 and 421,684.20 is: 632,526.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,005.80 : 709,508.70 = 421,684.20 : x
  2. Step 2: Convert to fraction form
    473,005.80/709,508.70 = 421,684.20/x
  3. Step 3: Cross multiply
    473,005.80x = 709,508.70 × 421,684.20
  4. Step 4: Simplify right side
    473,005.80x = 299,188,608,552.54
  5. Step 5: Solve for x
    x = 299,188,608,552.54/473,005.80
  6. Step 6: Final answer
    x = 632,526.30

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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.