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Finding the Fourth Proportional to 687,423, 948,650.22 and 385,623.48

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Solution

The fourth proportional to 687,423, 948,650.22 and 385,623.48 is: 532,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,423 : 948,650.22 = 385,623.48 : x
  2. Step 2: Convert to fraction form
    687,423/948,650.22 = 385,623.48/x
  3. Step 3: Cross multiply
    687,423x = 948,650.22 × 385,623.48
  4. Step 4: Simplify right side
    687,423x = 365,821,799,139.17
  5. Step 5: Solve for x
    x = 365,821,799,139.17/687,423
  6. Step 6: Final answer
    x = 532,164.04

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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.