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Finding the Fourth Proportional to 502,645.60, 693,647.66 and 287,827.19

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Solution

The fourth proportional to 502,645.60, 693,647.66 and 287,827.19 is: 397,199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,645.60 : 693,647.66 = 287,827.19 : x
  2. Step 2: Convert to fraction form
    502,645.60/693,647.66 = 287,827.19/x
  3. Step 3: Cross multiply
    502,645.60x = 693,647.66 × 287,827.19
  4. Step 4: Simplify right side
    502,645.60x = 199,650,656,680.38
  5. Step 5: Solve for x
    x = 199,650,656,680.38/502,645.60
  6. Step 6: Final answer
    x = 397,199.65

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Double scale
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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.