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Finding the Fourth Proportional to 287,877.60, 432,334.80 and 278,546.40

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Solution

The fourth proportional to 287,877.60, 432,334.80 and 278,546.40 is: 418,321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,877.60 : 432,334.80 = 278,546.40 : x
  2. Step 2: Convert to fraction form
    287,877.60/432,334.80 = 278,546.40/x
  3. Step 3: Cross multiply
    287,877.60x = 432,334.80 × 278,546.40
  4. Step 4: Simplify right side
    287,877.60x = 120,425,302,134.72
  5. Step 5: Solve for x
    x = 120,425,302,134.72/287,877.60
  6. Step 6: Final answer
    x = 418,321.20

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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.