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Finding the Fourth Proportional to 346,225.68, 519,405.87 and 132,978

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Solution

The fourth proportional to 346,225.68, 519,405.87 and 132,978 is: 199,492.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,225.68 : 519,405.87 = 132,978 : x
  2. Step 2: Convert to fraction form
    346,225.68/519,405.87 = 132,978/x
  3. Step 3: Cross multiply
    346,225.68x = 519,405.87 × 132,978
  4. Step 4: Simplify right side
    346,225.68x = 69,069,553,780.86
  5. Step 5: Solve for x
    x = 69,069,553,780.86/346,225.68
  6. Step 6: Final answer
    x = 199,492.87

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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.