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Finding the Fourth Proportional to 345,942.40, 518,740.80 and 158,742.40

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Solution

The fourth proportional to 345,942.40, 518,740.80 and 158,742.40 is: 238,034.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,942.40 : 518,740.80 = 158,742.40 : x
  2. Step 2: Convert to fraction form
    345,942.40/518,740.80 = 158,742.40/x
  3. Step 3: Cross multiply
    345,942.40x = 518,740.80 × 158,742.40
  4. Step 4: Simplify right side
    345,942.40x = 82,346,159,569.92
  5. Step 5: Solve for x
    x = 82,346,159,569.92/345,942.40
  6. Step 6: Final answer
    x = 238,034.31

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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.