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Finding the Fourth Proportional to 359,916.68, 496,685.02 and 209,023.40

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Solution

The fourth proportional to 359,916.68, 496,685.02 and 209,023.40 is: 288,452.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,916.68 : 496,685.02 = 209,023.40 : x
  2. Step 2: Convert to fraction form
    359,916.68/496,685.02 = 209,023.40/x
  3. Step 3: Cross multiply
    359,916.68x = 496,685.02 × 209,023.40
  4. Step 4: Simplify right side
    359,916.68x = 103,818,791,609.47
  5. Step 5: Solve for x
    x = 103,818,791,609.47/359,916.68
  6. Step 6: Final answer
    x = 288,452.29

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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.