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Finding the Fourth Proportional to 299,306.60, 448,959.90 and 260,815.40

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Solution

The fourth proportional to 299,306.60, 448,959.90 and 260,815.40 is: 391,223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,306.60 : 448,959.90 = 260,815.40 : x
  2. Step 2: Convert to fraction form
    299,306.60/448,959.90 = 260,815.40/x
  3. Step 3: Cross multiply
    299,306.60x = 448,959.90 × 260,815.40
  4. Step 4: Simplify right side
    299,306.60x = 117,095,655,902.46
  5. Step 5: Solve for x
    x = 117,095,655,902.46/299,306.60
  6. Step 6: Final answer
    x = 391,223.10

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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.