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Finding the Fourth Proportional to 288,206.72, 432,368 and 101,193.60

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Solution

The fourth proportional to 288,206.72, 432,368 and 101,193.60 is: 151,810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,206.72 : 432,368 = 101,193.60 : x
  2. Step 2: Convert to fraction form
    288,206.72/432,368 = 101,193.60/x
  3. Step 3: Cross multiply
    288,206.72x = 432,368 × 101,193.60
  4. Step 4: Simplify right side
    288,206.72x = 43,752,874,444.80
  5. Step 5: Solve for x
    x = 43,752,874,444.80/288,206.72
  6. Step 6: Final answer
    x = 151,810.74

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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.