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Finding the Fourth Proportional to 288,064.80, 432,291.60 and 187,981.20

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Solution

The fourth proportional to 288,064.80, 432,291.60 and 187,981.20 is: 282,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,064.80 : 432,291.60 = 187,981.20 : x
  2. Step 2: Convert to fraction form
    288,064.80/432,291.60 = 187,981.20/x
  3. Step 3: Cross multiply
    288,064.80x = 432,291.60 × 187,981.20
  4. Step 4: Simplify right side
    288,064.80x = 81,262,693,717.92
  5. Step 5: Solve for x
    x = 81,262,693,717.92/288,064.80
  6. Step 6: Final answer
    x = 282,098.66

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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.