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Finding the Fourth Proportional to 288,137.52, 432,254.88 and 119,748.24

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Solution

The fourth proportional to 288,137.52, 432,254.88 and 119,748.24 is: 179,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,137.52 : 432,254.88 = 119,748.24 : x
  2. Step 2: Convert to fraction form
    288,137.52/432,254.88 = 119,748.24/x
  3. Step 3: Cross multiply
    288,137.52x = 432,254.88 × 119,748.24
  4. Step 4: Simplify right side
    288,137.52x = 51,761,761,111.41
  5. Step 5: Solve for x
    x = 51,761,761,111.41/288,137.52
  6. Step 6: Final answer
    x = 179,642.56

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1.5x scale

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.