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Finding the Fourth Proportional to 282,799.32, 424,202.34 and 72,431.64

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Solution

The fourth proportional to 282,799.32, 424,202.34 and 72,431.64 is: 108,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,799.32 : 424,202.34 = 72,431.64 : x
  2. Step 2: Convert to fraction form
    282,799.32/424,202.34 = 72,431.64/x
  3. Step 3: Cross multiply
    282,799.32x = 424,202.34 × 72,431.64
  4. Step 4: Simplify right side
    282,799.32x = 30,725,671,178.04
  5. Step 5: Solve for x
    x = 30,725,671,178.04/282,799.32
  6. Step 6: Final answer
    x = 108,648.32

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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.