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Finding the Fourth Proportional to 288,560.65, 432,848.40 and 136,722.10

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Solution

The fourth proportional to 288,560.65, 432,848.40 and 136,722.10 is: 205,086.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,560.65 : 432,848.40 = 136,722.10 : x
  2. Step 2: Convert to fraction form
    288,560.65/432,848.40 = 136,722.10/x
  3. Step 3: Cross multiply
    288,560.65x = 432,848.40 × 136,722.10
  4. Step 4: Simplify right side
    288,560.65x = 59,179,942,229.64
  5. Step 5: Solve for x
    x = 59,179,942,229.64/288,560.65
  6. Step 6: Final answer
    x = 205,086.67

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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.