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Finding the Fourth Proportional to 284,078.64, 392,030.37 and 155,026.20

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Solution

The fourth proportional to 284,078.64, 392,030.37 and 155,026.20 is: 213,937.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,078.64 : 392,030.37 = 155,026.20 : x
  2. Step 2: Convert to fraction form
    284,078.64/392,030.37 = 155,026.20/x
  3. Step 3: Cross multiply
    284,078.64x = 392,030.37 × 155,026.20
  4. Step 4: Simplify right side
    284,078.64x = 60,774,978,545.69
  5. Step 5: Solve for x
    x = 60,774,978,545.69/284,078.64
  6. Step 6: Final answer
    x = 213,937.16

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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.