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Finding the Fourth Proportional to 281,666.10, 422,499.15 and 141,374.10

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Solution

The fourth proportional to 281,666.10, 422,499.15 and 141,374.10 is: 212,061.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,666.10 : 422,499.15 = 141,374.10 : x
  2. Step 2: Convert to fraction form
    281,666.10/422,499.15 = 141,374.10/x
  3. Step 3: Cross multiply
    281,666.10x = 422,499.15 × 141,374.10
  4. Step 4: Simplify right side
    281,666.10x = 59,730,437,082.02
  5. Step 5: Solve for x
    x = 59,730,437,082.02/281,666.10
  6. Step 6: Final answer
    x = 212,061.15

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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.