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Finding the Fourth Proportional to 282,165.32, 423,239.78 and 82,490.40

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Solution

The fourth proportional to 282,165.32, 423,239.78 and 82,490.40 is: 123,733.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,165.32 : 423,239.78 = 82,490.40 : x
  2. Step 2: Convert to fraction form
    282,165.32/423,239.78 = 82,490.40/x
  3. Step 3: Cross multiply
    282,165.32x = 423,239.78 × 82,490.40
  4. Step 4: Simplify right side
    282,165.32x = 34,913,218,954.34
  5. Step 5: Solve for x
    x = 34,913,218,954.34/282,165.32
  6. Step 6: Final answer
    x = 123,733.20

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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.