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Finding the Fourth Proportional to 432,686.85, 649,030.74 and 112,838.49

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Solution

The fourth proportional to 432,686.85, 649,030.74 and 112,838.49 is: 169,257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,686.85 : 649,030.74 = 112,838.49 : x
  2. Step 2: Convert to fraction form
    432,686.85/649,030.74 = 112,838.49/x
  3. Step 3: Cross multiply
    432,686.85x = 649,030.74 × 112,838.49
  4. Step 4: Simplify right side
    432,686.85x = 73,235,648,665.18
  5. Step 5: Solve for x
    x = 73,235,648,665.18/432,686.85
  6. Step 6: Final answer
    x = 169,257.86

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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.