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Finding the Fourth Proportional to 497,903.12, 687,103.16 and 283,043.20

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Solution

The fourth proportional to 497,903.12, 687,103.16 and 283,043.20 is: 390,597.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,903.12 : 687,103.16 = 283,043.20 : x
  2. Step 2: Convert to fraction form
    497,903.12/687,103.16 = 283,043.20/x
  3. Step 3: Cross multiply
    497,903.12x = 687,103.16 × 283,043.20
  4. Step 4: Simplify right side
    497,903.12x = 194,479,873,701.00
  5. Step 5: Solve for x
    x = 194,479,873,701.00/497,903.12
  6. Step 6: Final answer
    x = 390,597.82

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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.