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Finding the Fourth Proportional to 233,254.40, 349,881.60 and 85,491.20

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Solution

The fourth proportional to 233,254.40, 349,881.60 and 85,491.20 is: 128,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,254.40 : 349,881.60 = 85,491.20 : x
  2. Step 2: Convert to fraction form
    233,254.40/349,881.60 = 85,491.20/x
  3. Step 3: Cross multiply
    233,254.40x = 349,881.60 × 85,491.20
  4. Step 4: Simplify right side
    233,254.40x = 29,911,797,841.92
  5. Step 5: Solve for x
    x = 29,911,797,841.92/233,254.40
  6. Step 6: Final answer
    x = 128,236.80

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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.