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Finding the Fourth Proportional to 345,128, 517,691.36 and 197,280.32

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Solution

The fourth proportional to 345,128, 517,691.36 and 197,280.32 is: 295,920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,128 : 517,691.36 = 197,280.32 : x
  2. Step 2: Convert to fraction form
    345,128/517,691.36 = 197,280.32/x
  3. Step 3: Cross multiply
    345,128x = 517,691.36 × 197,280.32
  4. Step 4: Simplify right side
    345,128x = 102,130,317,162.04
  5. Step 5: Solve for x
    x = 102,130,317,162.04/345,128
  6. Step 6: Final answer
    x = 295,920.11

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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.