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Finding the Fourth Proportional to 498,114.22, 687,369.63 and 283,306.54

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Solution

The fourth proportional to 498,114.22, 687,369.63 and 283,306.54 is: 390,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,114.22 : 687,369.63 = 283,306.54 : x
  2. Step 2: Convert to fraction form
    498,114.22/687,369.63 = 283,306.54/x
  3. Step 3: Cross multiply
    498,114.22x = 687,369.63 × 283,306.54
  4. Step 4: Simplify right side
    498,114.22x = 194,736,311,576.38
  5. Step 5: Solve for x
    x = 194,736,311,576.38/498,114.22
  6. Step 6: Final answer
    x = 390,947.10

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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.