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Finding the Fourth Proportional to 653,153.12, 980,031 and 298,275.92

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Solution

The fourth proportional to 653,153.12, 980,031 and 298,275.92 is: 447,551.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,153.12 : 980,031 = 298,275.92 : x
  2. Step 2: Convert to fraction form
    653,153.12/980,031 = 298,275.92/x
  3. Step 3: Cross multiply
    653,153.12x = 980,031 × 298,275.92
  4. Step 4: Simplify right side
    653,153.12x = 292,319,648,153.52
  5. Step 5: Solve for x
    x = 292,319,648,153.52/653,153.12
  6. Step 6: Final answer
    x = 447,551.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.