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Finding the Fourth Proportional to 268,820.80, 402,842.40 and 118,938.40

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Solution

The fourth proportional to 268,820.80, 402,842.40 and 118,938.40 is: 178,235.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,820.80 : 402,842.40 = 118,938.40 : x
  2. Step 2: Convert to fraction form
    268,820.80/402,842.40 = 118,938.40/x
  3. Step 3: Cross multiply
    268,820.80x = 402,842.40 × 118,938.40
  4. Step 4: Simplify right side
    268,820.80x = 47,913,430,508.16
  5. Step 5: Solve for x
    x = 47,913,430,508.16/268,820.80
  6. Step 6: Final answer
    x = 178,235.58

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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.