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Finding the Fourth Proportional to 288,315.90, 432,549.45 and 110,828.70

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Solution

The fourth proportional to 288,315.90, 432,549.45 and 110,828.70 is: 166,272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,315.90 : 432,549.45 = 110,828.70 : x
  2. Step 2: Convert to fraction form
    288,315.90/432,549.45 = 110,828.70/x
  3. Step 3: Cross multiply
    288,315.90x = 432,549.45 × 110,828.70
  4. Step 4: Simplify right side
    288,315.90x = 47,938,893,229.22
  5. Step 5: Solve for x
    x = 47,938,893,229.22/288,315.90
  6. Step 6: Final answer
    x = 166,272.11

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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.