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Finding the Fourth Proportional to 432,419.10, 648,628.65 and 432,419.10

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Solution

The fourth proportional to 432,419.10, 648,628.65 and 432,419.10 is: 648,628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,419.10 : 648,628.65 = 432,419.10 : x
  2. Step 2: Convert to fraction form
    432,419.10/648,628.65 = 432,419.10/x
  3. Step 3: Cross multiply
    432,419.10x = 648,628.65 × 432,419.10
  4. Step 4: Simplify right side
    432,419.10x = 280,479,417,067.22
  5. Step 5: Solve for x
    x = 280,479,417,067.22/432,419.10
  6. Step 6: Final answer
    x = 648,628.65

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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.