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Finding the Fourth Proportional to 287,866.40, 431,799.60 and 188,139.20

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Solution

The fourth proportional to 287,866.40, 431,799.60 and 188,139.20 is: 282,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,866.40 : 431,799.60 = 188,139.20 : x
  2. Step 2: Convert to fraction form
    287,866.40/431,799.60 = 188,139.20/x
  3. Step 3: Cross multiply
    287,866.40x = 431,799.60 × 188,139.20
  4. Step 4: Simplify right side
    287,866.40x = 81,238,431,304.32
  5. Step 5: Solve for x
    x = 81,238,431,304.32/287,866.40
  6. Step 6: Final answer
    x = 282,208.80

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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.