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Finding the Fourth Proportional to 288,470, 432,801.13 and 181,730.73

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Solution

The fourth proportional to 288,470, 432,801.13 and 181,730.73 is: 272,656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,470 : 432,801.13 = 181,730.73 : x
  2. Step 2: Convert to fraction form
    288,470/432,801.13 = 181,730.73/x
  3. Step 3: Cross multiply
    288,470x = 432,801.13 × 181,730.73
  4. Step 4: Simplify right side
    288,470x = 78,653,265,299.72
  5. Step 5: Solve for x
    x = 78,653,265,299.72/288,470
  6. Step 6: Final answer
    x = 272,656.66

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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.