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Finding the Fourth Proportional to 285,616.10, 428,424.15 and 180,640.10

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Solution

The fourth proportional to 285,616.10, 428,424.15 and 180,640.10 is: 270,960.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,616.10 : 428,424.15 = 180,640.10 : x
  2. Step 2: Convert to fraction form
    285,616.10/428,424.15 = 180,640.10/x
  3. Step 3: Cross multiply
    285,616.10x = 428,424.15 × 180,640.10
  4. Step 4: Simplify right side
    285,616.10x = 77,390,581,298.42
  5. Step 5: Solve for x
    x = 77,390,581,298.42/285,616.10
  6. Step 6: Final answer
    x = 270,960.15

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1.5x scale

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.