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Finding the Fourth Proportional to 359,913.68, 496,680.88 and 209,020.40

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Solution

The fourth proportional to 359,913.68, 496,680.88 and 209,020.40 is: 288,448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,913.68 : 496,680.88 = 209,020.40 : x
  2. Step 2: Convert to fraction form
    359,913.68/496,680.88 = 209,020.40/x
  3. Step 3: Cross multiply
    359,913.68x = 496,680.88 × 209,020.40
  4. Step 4: Simplify right side
    359,913.68x = 103,816,436,209.95
  5. Step 5: Solve for x
    x = 103,816,436,209.95/359,913.68
  6. Step 6: Final answer
    x = 288,448.15

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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.