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Finding the Fourth Proportional to 298,678.83, 447,947.47 and 85,440.16

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Solution

The fourth proportional to 298,678.83, 447,947.47 and 85,440.16 is: 128,139.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,678.83 : 447,947.47 = 85,440.16 : x
  2. Step 2: Convert to fraction form
    298,678.83/447,947.47 = 85,440.16/x
  3. Step 3: Cross multiply
    298,678.83x = 447,947.47 × 85,440.16
  4. Step 4: Simplify right side
    298,678.83x = 38,272,703,508.40
  5. Step 5: Solve for x
    x = 38,272,703,508.40/298,678.83
  6. Step 6: Final answer
    x = 128,139.99

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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.