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Finding the Fourth Proportional to 288,868.82, 433,302.02 and 78,506.16

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Solution

The fourth proportional to 288,868.82, 433,302.02 and 78,506.16 is: 117,758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,868.82 : 433,302.02 = 78,506.16 : x
  2. Step 2: Convert to fraction form
    288,868.82/433,302.02 = 78,506.16/x
  3. Step 3: Cross multiply
    288,868.82x = 433,302.02 × 78,506.16
  4. Step 4: Simplify right side
    288,868.82x = 34,016,877,710.44
  5. Step 5: Solve for x
    x = 34,016,877,710.44/288,868.82
  6. Step 6: Final answer
    x = 117,758.91

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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.