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Finding the Fourth Proportional to 563,458.48, 845,218.56 and 142,738

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Solution

The fourth proportional to 563,458.48, 845,218.56 and 142,738 is: 214,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,458.48 : 845,218.56 = 142,738 : x
  2. Step 2: Convert to fraction form
    563,458.48/845,218.56 = 142,738/x
  3. Step 3: Cross multiply
    563,458.48x = 845,218.56 × 142,738
  4. Step 4: Simplify right side
    563,458.48x = 120,644,806,817.28
  5. Step 5: Solve for x
    x = 120,644,806,817.28/563,458.48
  6. Step 6: Final answer
    x = 214,114.81

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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.