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Finding the Fourth Proportional to 359,285.83, 495,803.84 and 198,140.83

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Solution

The fourth proportional to 359,285.83, 495,803.84 and 198,140.83 is: 273,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,285.83 : 495,803.84 = 198,140.83 : x
  2. Step 2: Convert to fraction form
    359,285.83/495,803.84 = 198,140.83/x
  3. Step 3: Cross multiply
    359,285.83x = 495,803.84 × 198,140.83
  4. Step 4: Simplify right side
    359,285.83x = 98,238,984,933.47
  5. Step 5: Solve for x
    x = 98,238,984,933.47/359,285.83
  6. Step 6: Final answer
    x = 273,428.50

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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.