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Finding the Fourth Proportional to 256,458.32, 384,639.16 and 69,445.20

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Solution

The fourth proportional to 256,458.32, 384,639.16 and 69,445.20 is: 104,154.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,458.32 : 384,639.16 = 69,445.20 : x
  2. Step 2: Convert to fraction form
    256,458.32/384,639.16 = 69,445.20/x
  3. Step 3: Cross multiply
    256,458.32x = 384,639.16 × 69,445.20
  4. Step 4: Simplify right side
    256,458.32x = 26,711,343,394.03
  5. Step 5: Solve for x
    x = 26,711,343,394.03/256,458.32
  6. Step 6: Final answer
    x = 104,154.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.