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Finding the Fourth Proportional to 284,300.95, 392,338.29 and 156,976.24

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Solution

The fourth proportional to 284,300.95, 392,338.29 and 156,976.24 is: 216,628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,300.95 : 392,338.29 = 156,976.24 : x
  2. Step 2: Convert to fraction form
    284,300.95/392,338.29 = 156,976.24/x
  3. Step 3: Cross multiply
    284,300.95x = 392,338.29 × 156,976.24
  4. Step 4: Simplify right side
    284,300.95x = 61,587,789,572.23
  5. Step 5: Solve for x
    x = 61,587,789,572.23/284,300.95
  6. Step 6: Final answer
    x = 216,628.86

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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.