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Finding the Fourth Proportional to 359,180.61, 495,989.64 and 342,165.75

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Solution

The fourth proportional to 359,180.61, 495,989.64 and 342,165.75 is: 472,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,180.61 : 495,989.64 = 342,165.75 : x
  2. Step 2: Convert to fraction form
    359,180.61/495,989.64 = 342,165.75/x
  3. Step 3: Cross multiply
    359,180.61x = 495,989.64 × 342,165.75
  4. Step 4: Simplify right side
    359,180.61x = 169,710,667,162.83
  5. Step 5: Solve for x
    x = 169,710,667,162.83/359,180.61
  6. Step 6: Final answer
    x = 472,493.96

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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.