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Finding the Fourth Proportional to 648,180.70, 972,264.65 and 204,948.70

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Solution

The fourth proportional to 648,180.70, 972,264.65 and 204,948.70 is: 307,421.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,180.70 : 972,264.65 = 204,948.70 : x
  2. Step 2: Convert to fraction form
    648,180.70/972,264.65 = 204,948.70/x
  3. Step 3: Cross multiply
    648,180.70x = 972,264.65 × 204,948.70
  4. Step 4: Simplify right side
    648,180.70x = 199,264,376,073.46
  5. Step 5: Solve for x
    x = 199,264,376,073.46/648,180.70
  6. Step 6: Final answer
    x = 307,421.03

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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.