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Finding the Fourth Proportional to 272,924.38, 409,448.88 and 83,411.72

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Solution

The fourth proportional to 272,924.38, 409,448.88 and 83,411.72 is: 125,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,924.38 : 409,448.88 = 83,411.72 : x
  2. Step 2: Convert to fraction form
    272,924.38/409,448.88 = 83,411.72/x
  3. Step 3: Cross multiply
    272,924.38x = 409,448.88 × 83,411.72
  4. Step 4: Simplify right side
    272,924.38x = 34,152,833,285.63
  5. Step 5: Solve for x
    x = 34,152,833,285.63/272,924.38
  6. Step 6: Final answer
    x = 125,136.62

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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.