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Finding the Fourth Proportional to 284,055.13, 392,004.28 and 156,738.92

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Solution

The fourth proportional to 284,055.13, 392,004.28 and 156,738.92 is: 216,304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,055.13 : 392,004.28 = 156,738.92 : x
  2. Step 2: Convert to fraction form
    284,055.13/392,004.28 = 156,738.92/x
  3. Step 3: Cross multiply
    284,055.13x = 392,004.28 × 156,738.92
  4. Step 4: Simplify right side
    284,055.13x = 61,442,326,698.88
  5. Step 5: Solve for x
    x = 61,442,326,698.88/284,055.13
  6. Step 6: Final answer
    x = 216,304.24

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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.