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Finding the Fourth Proportional to 287,915.40, 397,200.78 and 180,412.20

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Solution

The fourth proportional to 287,915.40, 397,200.78 and 180,412.20 is: 248,892.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,915.40 : 397,200.78 = 180,412.20 : x
  2. Step 2: Convert to fraction form
    287,915.40/397,200.78 = 180,412.20/x
  3. Step 3: Cross multiply
    287,915.40x = 397,200.78 × 180,412.20
  4. Step 4: Simplify right side
    287,915.40x = 71,659,866,561.52
  5. Step 5: Solve for x
    x = 71,659,866,561.52/287,915.40
  6. Step 6: Final answer
    x = 248,892.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.