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Finding the Fourth Proportional to 517,837.48, 714,658.50 and 288,438.76

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Solution

The fourth proportional to 517,837.48, 714,658.50 and 288,438.76 is: 398,069.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,837.48 : 714,658.50 = 288,438.76 : x
  2. Step 2: Convert to fraction form
    517,837.48/714,658.50 = 288,438.76/x
  3. Step 3: Cross multiply
    517,837.48x = 714,658.50 × 288,438.76
  4. Step 4: Simplify right side
    517,837.48x = 206,135,211,563.46
  5. Step 5: Solve for x
    x = 206,135,211,563.46/517,837.48
  6. Step 6: Final answer
    x = 398,069.32

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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.