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Finding the Fourth Proportional to 288,549.72, 432,829.44 and 130,779.54

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Solution

The fourth proportional to 288,549.72, 432,829.44 and 130,779.54 is: 196,171.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,549.72 : 432,829.44 = 130,779.54 : x
  2. Step 2: Convert to fraction form
    288,549.72/432,829.44 = 130,779.54/x
  3. Step 3: Cross multiply
    288,549.72x = 432,829.44 × 130,779.54
  4. Step 4: Simplify right side
    288,549.72x = 56,605,235,061.66
  5. Step 5: Solve for x
    x = 56,605,235,061.66/288,549.72
  6. Step 6: Final answer
    x = 196,171.51

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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.