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Finding the Fourth Proportional to 398,220.80, 597,323.52 and 98,702

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Solution

The fourth proportional to 398,220.80, 597,323.52 and 98,702 is: 148,051.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,220.80 : 597,323.52 = 98,702 : x
  2. Step 2: Convert to fraction form
    398,220.80/597,323.52 = 98,702/x
  3. Step 3: Cross multiply
    398,220.80x = 597,323.52 × 98,702
  4. Step 4: Simplify right side
    398,220.80x = 58,957,026,071.04
  5. Step 5: Solve for x
    x = 58,957,026,071.04/398,220.80
  6. Step 6: Final answer
    x = 148,051.10

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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.