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Finding the Fourth Proportional to 398,617.04, 597,923.02 and 145,915.13

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Solution

The fourth proportional to 398,617.04, 597,923.02 and 145,915.13 is: 218,871.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,617.04 : 597,923.02 = 145,915.13 : x
  2. Step 2: Convert to fraction form
    398,617.04/597,923.02 = 145,915.13/x
  3. Step 3: Cross multiply
    398,617.04x = 597,923.02 × 145,915.13
  4. Step 4: Simplify right side
    398,617.04x = 87,246,011,838.89
  5. Step 5: Solve for x
    x = 87,246,011,838.89/398,617.04
  6. Step 6: Final answer
    x = 218,871.76

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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.