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Finding the Fourth Proportional to 498,275.19, 747,531.45 and 161,316

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Solution

The fourth proportional to 498,275.19, 747,531.45 and 161,316 is: 242,012.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,275.19 : 747,531.45 = 161,316 : x
  2. Step 2: Convert to fraction form
    498,275.19/747,531.45 = 161,316/x
  3. Step 3: Cross multiply
    498,275.19x = 747,531.45 × 161,316
  4. Step 4: Simplify right side
    498,275.19x = 120,588,783,388.20
  5. Step 5: Solve for x
    x = 120,588,783,388.20/498,275.19
  6. Step 6: Final answer
    x = 242,012.42

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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.