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Finding the Fourth Proportional to 284,169.19, 392,125.55 and 156,836.58

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Solution

The fourth proportional to 284,169.19, 392,125.55 and 156,836.58 is: 216,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,169.19 : 392,125.55 = 156,836.58 : x
  2. Step 2: Convert to fraction form
    284,169.19/392,125.55 = 156,836.58/x
  3. Step 3: Cross multiply
    284,169.19x = 392,125.55 × 156,836.58
  4. Step 4: Simplify right side
    284,169.19x = 61,499,627,447.81
  5. Step 5: Solve for x
    x = 61,499,627,447.81/284,169.19
  6. Step 6: Final answer
    x = 216,419.05

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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.