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Finding the Fourth Proportional to 563,445.48, 845,199 and 142,725

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Solution

The fourth proportional to 563,445.48, 845,199 and 142,725 is: 214,095.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,445.48 : 845,199 = 142,725 : x
  2. Step 2: Convert to fraction form
    563,445.48/845,199 = 142,725/x
  3. Step 3: Cross multiply
    563,445.48x = 845,199 × 142,725
  4. Step 4: Simplify right side
    563,445.48x = 120,631,027,275
  5. Step 5: Solve for x
    x = 120,631,027,275/563,445.48
  6. Step 6: Final answer
    x = 214,095.30

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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.