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Finding the Fourth Proportional to 648,491.52, 972,725.76 and 205,248

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Solution

The fourth proportional to 648,491.52, 972,725.76 and 205,248 is: 307,868.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,491.52 : 972,725.76 = 205,248 : x
  2. Step 2: Convert to fraction form
    648,491.52/972,725.76 = 205,248/x
  3. Step 3: Cross multiply
    648,491.52x = 972,725.76 × 205,248
  4. Step 4: Simplify right side
    648,491.52x = 199,650,016,788.48
  5. Step 5: Solve for x
    x = 199,650,016,788.48/648,491.52
  6. Step 6: Final answer
    x = 307,868.35

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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.