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Finding the Fourth Proportional to 415,585.84, 573,242.52 and 288,214.96

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Solution

The fourth proportional to 415,585.84, 573,242.52 and 288,214.96 is: 397,552.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,585.84 : 573,242.52 = 288,214.96 : x
  2. Step 2: Convert to fraction form
    415,585.84/573,242.52 = 288,214.96/x
  3. Step 3: Cross multiply
    415,585.84x = 573,242.52 × 288,214.96
  4. Step 4: Simplify right side
    415,585.84x = 165,217,069,972.10
  5. Step 5: Solve for x
    x = 165,217,069,972.10/415,585.84
  6. Step 6: Final answer
    x = 397,552.21

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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.