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Finding the Fourth Proportional to 268,241.60, 402,362.40 and 141,708.80

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Solution

The fourth proportional to 268,241.60, 402,362.40 and 141,708.80 is: 212,563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,241.60 : 402,362.40 = 141,708.80 : x
  2. Step 2: Convert to fraction form
    268,241.60/402,362.40 = 141,708.80/x
  3. Step 3: Cross multiply
    268,241.60x = 402,362.40 × 141,708.80
  4. Step 4: Simplify right side
    268,241.60x = 57,018,292,869.12
  5. Step 5: Solve for x
    x = 57,018,292,869.12/268,241.60
  6. Step 6: Final answer
    x = 212,563.20

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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.