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Finding the Fourth Proportional to 398,201.46, 597,001.86 and 240,392.40

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Solution

The fourth proportional to 398,201.46, 597,001.86 and 240,392.40 is: 360,407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,201.46 : 597,001.86 = 240,392.40 : x
  2. Step 2: Convert to fraction form
    398,201.46/597,001.86 = 240,392.40/x
  3. Step 3: Cross multiply
    398,201.46x = 597,001.86 × 240,392.40
  4. Step 4: Simplify right side
    398,201.46x = 143,514,709,929.86
  5. Step 5: Solve for x
    x = 143,514,709,929.86/398,201.46
  6. Step 6: Final answer
    x = 360,407.29

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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.