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Finding the Fourth Proportional to 287,877.12, 431,640 and 119,264.64

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Solution

The fourth proportional to 287,877.12, 431,640 and 119,264.64 is: 178,824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,877.12 : 431,640 = 119,264.64 : x
  2. Step 2: Convert to fraction form
    287,877.12/431,640 = 119,264.64/x
  3. Step 3: Cross multiply
    287,877.12x = 431,640 × 119,264.64
  4. Step 4: Simplify right side
    287,877.12x = 51,479,389,209.60
  5. Step 5: Solve for x
    x = 51,479,389,209.60/287,877.12
  6. Step 6: Final answer
    x = 178,824.18

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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.