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Finding the Fourth Proportional to 497,909, 687,111.26 and 283,049.06

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Solution

The fourth proportional to 497,909, 687,111.26 and 283,049.06 is: 390,605.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,909 : 687,111.26 = 283,049.06 : x
  2. Step 2: Convert to fraction form
    497,909/687,111.26 = 283,049.06/x
  3. Step 3: Cross multiply
    497,909x = 687,111.26 × 283,049.06
  4. Step 4: Simplify right side
    497,909x = 194,486,196,258.42
  5. Step 5: Solve for x
    x = 194,486,196,258.42/497,909
  6. Step 6: Final answer
    x = 390,605.91

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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.