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Finding the Fourth Proportional to 512,017.71, 767,773.82 and 156,946.11

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Solution

The fourth proportional to 512,017.71, 767,773.82 and 156,946.11 is: 235,341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,017.71 : 767,773.82 = 156,946.11 : x
  2. Step 2: Convert to fraction form
    512,017.71/767,773.82 = 156,946.11/x
  3. Step 3: Cross multiply
    512,017.71x = 767,773.82 × 156,946.11
  4. Step 4: Simplify right side
    512,017.71x = 120,499,113,624.11
  5. Step 5: Solve for x
    x = 120,499,113,624.11/512,017.71
  6. Step 6: Final answer
    x = 235,341.69

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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.