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Finding the Fourth Proportional to 432,068.80, 648,103.20 and 413,406.40

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Solution

The fourth proportional to 432,068.80, 648,103.20 and 413,406.40 is: 620,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,068.80 : 648,103.20 = 413,406.40 : x
  2. Step 2: Convert to fraction form
    432,068.80/648,103.20 = 413,406.40/x
  3. Step 3: Cross multiply
    432,068.80x = 648,103.20 × 413,406.40
  4. Step 4: Simplify right side
    432,068.80x = 267,930,010,740.48
  5. Step 5: Solve for x
    x = 267,930,010,740.48/432,068.80
  6. Step 6: Final answer
    x = 620,109.60

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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.