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Finding the Fourth Proportional to 361,811.62, 542,303.70 and 172,002.70

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Solution

The fourth proportional to 361,811.62, 542,303.70 and 172,002.70 is: 257,807.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,811.62 : 542,303.70 = 172,002.70 : x
  2. Step 2: Convert to fraction form
    361,811.62/542,303.70 = 172,002.70/x
  3. Step 3: Cross multiply
    361,811.62x = 542,303.70 × 172,002.70
  4. Step 4: Simplify right side
    361,811.62x = 93,277,700,619.99
  5. Step 5: Solve for x
    x = 93,277,700,619.99/361,811.62
  6. Step 6: Final answer
    x = 257,807.37

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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.