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Finding the Fourth Proportional to 284,445.62, 392,530.86 and 155,382.54

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Solution

The fourth proportional to 284,445.62, 392,530.86 and 155,382.54 is: 214,425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,445.62 : 392,530.86 = 155,382.54 : x
  2. Step 2: Convert to fraction form
    284,445.62/392,530.86 = 155,382.54/x
  3. Step 3: Cross multiply
    284,445.62x = 392,530.86 × 155,382.54
  4. Step 4: Simplify right side
    284,445.62x = 60,992,442,055.18
  5. Step 5: Solve for x
    x = 60,992,442,055.18/284,445.62
  6. Step 6: Final answer
    x = 214,425.67

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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.