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Finding the Fourth Proportional to 268,355.60, 402,072.60 and 141,808.40

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Solution

The fourth proportional to 268,355.60, 402,072.60 and 141,808.40 is: 212,469.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,355.60 : 402,072.60 = 141,808.40 : x
  2. Step 2: Convert to fraction form
    268,355.60/402,072.60 = 141,808.40/x
  3. Step 3: Cross multiply
    268,355.60x = 402,072.60 × 141,808.40
  4. Step 4: Simplify right side
    268,355.60x = 57,017,272,089.84
  5. Step 5: Solve for x
    x = 57,017,272,089.84/268,355.60
  6. Step 6: Final answer
    x = 212,469.10

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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.