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Finding the Fourth Proportional to 268,350.60, 402,065.10 and 141,803.40

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Solution

The fourth proportional to 268,350.60, 402,065.10 and 141,803.40 is: 212,461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,350.60 : 402,065.10 = 141,803.40 : x
  2. Step 2: Convert to fraction form
    268,350.60/402,065.10 = 141,803.40/x
  3. Step 3: Cross multiply
    268,350.60x = 402,065.10 × 141,803.40
  4. Step 4: Simplify right side
    268,350.60x = 57,014,198,201.34
  5. Step 5: Solve for x
    x = 57,014,198,201.34/268,350.60
  6. Step 6: Final answer
    x = 212,461.60

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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.