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Finding the Fourth Proportional to 298,897.20, 447,689.70 and 259,531.20

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Solution

The fourth proportional to 298,897.20, 447,689.70 and 259,531.20 is: 388,727.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,897.20 : 447,689.70 = 259,531.20 : x
  2. Step 2: Convert to fraction form
    298,897.20/447,689.70 = 259,531.20/x
  3. Step 3: Cross multiply
    298,897.20x = 447,689.70 × 259,531.20
  4. Step 4: Simplify right side
    298,897.20x = 116,189,445,068.64
  5. Step 5: Solve for x
    x = 116,189,445,068.64/298,897.20
  6. Step 6: Final answer
    x = 388,727.11

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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.