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Finding the Fourth Proportional to 284,182.92, 392,172.47 and 156,858.55

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Solution

The fourth proportional to 284,182.92, 392,172.47 and 156,858.55 is: 216,464.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,182.92 : 392,172.47 = 156,858.55 : x
  2. Step 2: Convert to fraction form
    284,182.92/392,172.47 = 156,858.55/x
  3. Step 3: Cross multiply
    284,182.92x = 392,172.47 × 156,858.55
  4. Step 4: Simplify right side
    284,182.92x = 61,515,604,258.83
  5. Step 5: Solve for x
    x = 61,515,604,258.83/284,182.92
  6. Step 6: Final answer
    x = 216,464.82

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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.