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Finding the Fourth Proportional to 415,585.72, 573,242.35 and 288,214.84

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Solution

The fourth proportional to 415,585.72, 573,242.35 and 288,214.84 is: 397,552.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,585.72 : 573,242.35 = 288,214.84 : x
  2. Step 2: Convert to fraction form
    415,585.72/573,242.35 = 288,214.84/x
  3. Step 3: Cross multiply
    415,585.72x = 573,242.35 × 288,214.84
  4. Step 4: Simplify right side
    415,585.72x = 165,216,952,186.47
  5. Step 5: Solve for x
    x = 165,216,952,186.47/415,585.72
  6. Step 6: Final answer
    x = 397,552.04

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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.