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Finding the Fourth Proportional to 502,987.84, 694,065.02 and 288,115.10

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Solution

The fourth proportional to 502,987.84, 694,065.02 and 288,115.10 is: 397,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,987.84 : 694,065.02 = 288,115.10 : x
  2. Step 2: Convert to fraction form
    502,987.84/694,065.02 = 288,115.10/x
  3. Step 3: Cross multiply
    502,987.84x = 694,065.02 × 288,115.10
  4. Step 4: Simplify right side
    502,987.84x = 199,970,612,643.80
  5. Step 5: Solve for x
    x = 199,970,612,643.80/502,987.84
  6. Step 6: Final answer
    x = 397,565.50

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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.