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Finding the Fourth Proportional to 432,838.90, 649,258.51 and 112,989.87

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Solution

The fourth proportional to 432,838.90, 649,258.51 and 112,989.87 is: 169,484.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,838.90 : 649,258.51 = 112,989.87 : x
  2. Step 2: Convert to fraction form
    432,838.90/649,258.51 = 112,989.87/x
  3. Step 3: Cross multiply
    432,838.90x = 649,258.51 × 112,989.87
  4. Step 4: Simplify right side
    432,838.90x = 73,359,630,830.05
  5. Step 5: Solve for x
    x = 73,359,630,830.05/432,838.90
  6. Step 6: Final answer
    x = 169,484.84

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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.