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Finding the Fourth Proportional to 288,373.68, 432,570.24 and 78,013.44

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Solution

The fourth proportional to 288,373.68, 432,570.24 and 78,013.44 is: 117,022.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,373.68 : 432,570.24 = 78,013.44 : x
  2. Step 2: Convert to fraction form
    288,373.68/432,570.24 = 78,013.44/x
  3. Step 3: Cross multiply
    288,373.68x = 432,570.24 × 78,013.44
  4. Step 4: Simplify right side
    288,373.68x = 33,746,292,464.03
  5. Step 5: Solve for x
    x = 33,746,292,464.03/288,373.68
  6. Step 6: Final answer
    x = 117,022.79

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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.