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Finding the Fourth Proportional to 398,798.24, 597,429.60 and 314,110.40

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Solution

The fourth proportional to 398,798.24, 597,429.60 and 314,110.40 is: 470,560.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,798.24 : 597,429.60 = 314,110.40 : x
  2. Step 2: Convert to fraction form
    398,798.24/597,429.60 = 314,110.40/x
  3. Step 3: Cross multiply
    398,798.24x = 597,429.60 × 314,110.40
  4. Step 4: Simplify right side
    398,798.24x = 187,658,850,627.84
  5. Step 5: Solve for x
    x = 187,658,850,627.84/398,798.24
  6. Step 6: Final answer
    x = 470,560.88

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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.