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Finding the Fourth Proportional to 230,279.40, 345,419.10 and 97,124.31

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Solution

The fourth proportional to 230,279.40, 345,419.10 and 97,124.31 is: 145,686.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,279.40 : 345,419.10 = 97,124.31 : x
  2. Step 2: Convert to fraction form
    230,279.40/345,419.10 = 97,124.31/x
  3. Step 3: Cross multiply
    230,279.40x = 345,419.10 × 97,124.31
  4. Step 4: Simplify right side
    230,279.40x = 33,548,591,748.32
  5. Step 5: Solve for x
    x = 33,548,591,748.32/230,279.40
  6. Step 6: Final answer
    x = 145,686.47

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1.5x scale

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.