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Finding the Fourth Proportional to 398,218.80, 597,320.52 and 98,700

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Solution

The fourth proportional to 398,218.80, 597,320.52 and 98,700 is: 148,048.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,218.80 : 597,320.52 = 98,700 : x
  2. Step 2: Convert to fraction form
    398,218.80/597,320.52 = 98,700/x
  3. Step 3: Cross multiply
    398,218.80x = 597,320.52 × 98,700
  4. Step 4: Simplify right side
    398,218.80x = 58,955,535,324
  5. Step 5: Solve for x
    x = 58,955,535,324/398,218.80
  6. Step 6: Final answer
    x = 148,048.10

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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.