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Finding the Fourth Proportional to 284,166.40, 427,286.40 and 238,547.20

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Solution

The fourth proportional to 284,166.40, 427,286.40 and 238,547.20 is: 358,691.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,166.40 : 427,286.40 = 238,547.20 : x
  2. Step 2: Convert to fraction form
    284,166.40/427,286.40 = 238,547.20/x
  3. Step 3: Cross multiply
    284,166.40x = 427,286.40 × 238,547.20
  4. Step 4: Simplify right side
    284,166.40x = 101,927,974,318.08
  5. Step 5: Solve for x
    x = 101,927,974,318.08/284,166.40
  6. Step 6: Final answer
    x = 358,691.16

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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.