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Finding the Fourth Proportional to 359,700.84, 538,219.62 and 288,405.45

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Solution

The fourth proportional to 359,700.84, 538,219.62 and 288,405.45 is: 431,540.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,700.84 : 538,219.62 = 288,405.45 : x
  2. Step 2: Convert to fraction form
    359,700.84/538,219.62 = 288,405.45/x
  3. Step 3: Cross multiply
    359,700.84x = 538,219.62 × 288,405.45
  4. Step 4: Simplify right side
    359,700.84x = 155,225,471,704.93
  5. Step 5: Solve for x
    x = 155,225,471,704.93/359,700.84
  6. Step 6: Final answer
    x = 431,540.48

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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.