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Finding the Fourth Proportional to 288,696.24, 432,918 and 153,731.88

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Solution

The fourth proportional to 288,696.24, 432,918 and 153,731.88 is: 230,530.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,696.24 : 432,918 = 153,731.88 : x
  2. Step 2: Convert to fraction form
    288,696.24/432,918 = 153,731.88/x
  3. Step 3: Cross multiply
    288,696.24x = 432,918 × 153,731.88
  4. Step 4: Simplify right side
    288,696.24x = 66,553,298,025.84
  5. Step 5: Solve for x
    x = 66,553,298,025.84/288,696.24
  6. Step 6: Final answer
    x = 230,530.53

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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.