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Finding the Fourth Proportional to 288,170.34, 432,289.98 and 88,464.48

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Solution

The fourth proportional to 288,170.34, 432,289.98 and 88,464.48 is: 132,707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,170.34 : 432,289.98 = 88,464.48 : x
  2. Step 2: Convert to fraction form
    288,170.34/432,289.98 = 88,464.48/x
  3. Step 3: Cross multiply
    288,170.34x = 432,289.98 × 88,464.48
  4. Step 4: Simplify right side
    288,170.34x = 38,242,308,289.91
  5. Step 5: Solve for x
    x = 38,242,308,289.91/288,170.34
  6. Step 6: Final answer
    x = 132,707.30

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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.