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Finding the Fourth Proportional to 284,007.76, 391,928.52 and 156,688.72

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Solution

The fourth proportional to 284,007.76, 391,928.52 and 156,688.72 is: 216,229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,007.76 : 391,928.52 = 156,688.72 : x
  2. Step 2: Convert to fraction form
    284,007.76/391,928.52 = 156,688.72/x
  3. Step 3: Cross multiply
    284,007.76x = 391,928.52 × 156,688.72
  4. Step 4: Simplify right side
    284,007.76x = 61,410,778,130.29
  5. Step 5: Solve for x
    x = 61,410,778,130.29/284,007.76
  6. Step 6: Final answer
    x = 216,229.23

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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.