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Finding the Fourth Proportional to 282,480.64, 423,720.32 and 72,118.40

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Solution

The fourth proportional to 282,480.64, 423,720.32 and 72,118.40 is: 108,177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,480.64 : 423,720.32 = 72,118.40 : x
  2. Step 2: Convert to fraction form
    282,480.64/423,720.32 = 72,118.40/x
  3. Step 3: Cross multiply
    282,480.64x = 423,720.32 × 72,118.40
  4. Step 4: Simplify right side
    282,480.64x = 30,558,031,525.89
  5. Step 5: Solve for x
    x = 30,558,031,525.89/282,480.64
  6. Step 6: Final answer
    x = 108,177.44

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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.