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Finding the Fourth Proportional to 747,715, 1,031,851.02 and 408,186.76

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Solution

The fourth proportional to 747,715, 1,031,851.02 and 408,186.76 is: 563,300.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,715 : 1,031,851.02 = 408,186.76 : x
  2. Step 2: Convert to fraction form
    747,715/1,031,851.02 = 408,186.76/x
  3. Step 3: Cross multiply
    747,715x = 1,031,851.02 × 408,186.76
  4. Step 4: Simplify right side
    747,715x = 421,187,924,656.50
  5. Step 5: Solve for x
    x = 421,187,924,656.50/747,715
  6. Step 6: Final answer
    x = 563,300.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.