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Finding the Fourth Proportional to 242,123.40, 362,321.10 and 153,419.40

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Solution

The fourth proportional to 242,123.40, 362,321.10 and 153,419.40 is: 229,581.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,123.40 : 362,321.10 = 153,419.40 : x
  2. Step 2: Convert to fraction form
    242,123.40/362,321.10 = 153,419.40/x
  3. Step 3: Cross multiply
    242,123.40x = 362,321.10 × 153,419.40
  4. Step 4: Simplify right side
    242,123.40x = 55,587,085,769.34
  5. Step 5: Solve for x
    x = 55,587,085,769.34/242,123.40
  6. Step 6: Final answer
    x = 229,581.63

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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.