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Finding the Fourth Proportional to 438,967.20, 658,450.80 and 106,543.20

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Solution

The fourth proportional to 438,967.20, 658,450.80 and 106,543.20 is: 159,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,967.20 : 658,450.80 = 106,543.20 : x
  2. Step 2: Convert to fraction form
    438,967.20/658,450.80 = 106,543.20/x
  3. Step 3: Cross multiply
    438,967.20x = 658,450.80 × 106,543.20
  4. Step 4: Simplify right side
    438,967.20x = 70,153,455,274.56
  5. Step 5: Solve for x
    x = 70,153,455,274.56/438,967.20
  6. Step 6: Final answer
    x = 159,814.80

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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.