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Finding the Fourth Proportional to 284,712.40, 427,068.60 and 144,744.40

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Solution

The fourth proportional to 284,712.40, 427,068.60 and 144,744.40 is: 217,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,712.40 : 427,068.60 = 144,744.40 : x
  2. Step 2: Convert to fraction form
    284,712.40/427,068.60 = 144,744.40/x
  3. Step 3: Cross multiply
    284,712.40x = 427,068.60 × 144,744.40
  4. Step 4: Simplify right side
    284,712.40x = 61,815,788,265.84
  5. Step 5: Solve for x
    x = 61,815,788,265.84/284,712.40
  6. Step 6: Final answer
    x = 217,116.60

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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.