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Finding the Fourth Proportional to 287,466.80, 431,200.20 and 282,801.20

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Solution

The fourth proportional to 287,466.80, 431,200.20 and 282,801.20 is: 424,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,466.80 : 431,200.20 = 282,801.20 : x
  2. Step 2: Convert to fraction form
    287,466.80/431,200.20 = 282,801.20/x
  3. Step 3: Cross multiply
    287,466.80x = 431,200.20 × 282,801.20
  4. Step 4: Simplify right side
    287,466.80x = 121,943,934,000.24
  5. Step 5: Solve for x
    x = 121,943,934,000.24/287,466.80
  6. Step 6: Final answer
    x = 424,201.80

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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.