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Finding the Fourth Proportional to 345,907.68, 519,061.60 and 146,215.20

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Solution

The fourth proportional to 345,907.68, 519,061.60 and 146,215.20 is: 219,407.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,907.68 : 519,061.60 = 146,215.20 : x
  2. Step 2: Convert to fraction form
    345,907.68/519,061.60 = 146,215.20/x
  3. Step 3: Cross multiply
    345,907.68x = 519,061.60 × 146,215.20
  4. Step 4: Simplify right side
    345,907.68x = 75,894,695,656.32
  5. Step 5: Solve for x
    x = 75,894,695,656.32/345,907.68
  6. Step 6: Final answer
    x = 219,407.37

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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.