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Finding the Fourth Proportional to 432,897.20, 649,345.80 and 432,897.20

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Solution

The fourth proportional to 432,897.20, 649,345.80 and 432,897.20 is: 649,345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,897.20 : 649,345.80 = 432,897.20 : x
  2. Step 2: Convert to fraction form
    432,897.20/649,345.80 = 432,897.20/x
  3. Step 3: Cross multiply
    432,897.20x = 649,345.80 × 432,897.20
  4. Step 4: Simplify right side
    432,897.20x = 281,099,978,651.76
  5. Step 5: Solve for x
    x = 281,099,978,651.76/432,897.20
  6. Step 6: Final answer
    x = 649,345.80

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Similar ratio
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1.5x scale

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.