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Finding the Fourth Proportional to 284,386.38, 392,630.69 and 181,078.88

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Solution

The fourth proportional to 284,386.38, 392,630.69 and 181,078.88 is: 250,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,386.38 : 392,630.69 = 181,078.88 : x
  2. Step 2: Convert to fraction form
    284,386.38/392,630.69 = 181,078.88/x
  3. Step 3: Cross multiply
    284,386.38x = 392,630.69 × 181,078.88
  4. Step 4: Simplify right side
    284,386.38x = 71,097,124,088.37
  5. Step 5: Solve for x
    x = 71,097,124,088.37/284,386.38
  6. Step 6: Final answer
    x = 250,001.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.