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Finding the Fourth Proportional to 261,946.40, 392,977.20 and 84,423.20

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Solution

The fourth proportional to 261,946.40, 392,977.20 and 84,423.20 is: 126,653.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,946.40 : 392,977.20 = 84,423.20 : x
  2. Step 2: Convert to fraction form
    261,946.40/392,977.20 = 84,423.20/x
  3. Step 3: Cross multiply
    261,946.40x = 392,977.20 × 84,423.20
  4. Step 4: Simplify right side
    261,946.40x = 33,176,392,751.04
  5. Step 5: Solve for x
    x = 33,176,392,751.04/261,946.40
  6. Step 6: Final answer
    x = 126,653.36

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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.