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Finding the Fourth Proportional to 409,445.96, 614,168.94 and 159,953

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Solution

The fourth proportional to 409,445.96, 614,168.94 and 159,953 is: 239,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,445.96 : 614,168.94 = 159,953 : x
  2. Step 2: Convert to fraction form
    409,445.96/614,168.94 = 159,953/x
  3. Step 3: Cross multiply
    409,445.96x = 614,168.94 × 159,953
  4. Step 4: Simplify right side
    409,445.96x = 98,238,164,459.82
  5. Step 5: Solve for x
    x = 98,238,164,459.82/409,445.96
  6. Step 6: Final answer
    x = 239,929.50

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Similar ratio
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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.