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Finding the Fourth Proportional to 230,400.64, 345,647.76 and 97,281.28

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Solution

The fourth proportional to 230,400.64, 345,647.76 and 97,281.28 is: 145,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,400.64 : 345,647.76 = 97,281.28 : x
  2. Step 2: Convert to fraction form
    230,400.64/345,647.76 = 97,281.28/x
  3. Step 3: Cross multiply
    230,400.64x = 345,647.76 × 97,281.28
  4. Step 4: Simplify right side
    230,400.64x = 33,625,056,521.93
  5. Step 5: Solve for x
    x = 33,625,056,521.93/230,400.64
  6. Step 6: Final answer
    x = 145,941.68

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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.