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Finding the Fourth Proportional to 497,987.70, 687,176.84 and 283,085.80

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Solution

The fourth proportional to 497,987.70, 687,176.84 and 283,085.80 is: 390,632.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,987.70 : 687,176.84 = 283,085.80 : x
  2. Step 2: Convert to fraction form
    497,987.70/687,176.84 = 283,085.80/x
  3. Step 3: Cross multiply
    497,987.70x = 687,176.84 × 283,085.80
  4. Step 4: Simplify right side
    497,987.70x = 194,530,005,492.87
  5. Step 5: Solve for x
    x = 194,530,005,492.87/497,987.70
  6. Step 6: Final answer
    x = 390,632.15

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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.