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Finding the Fourth Proportional to 432,920.40, 649,380.60 and 152,401.20

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Solution

The fourth proportional to 432,920.40, 649,380.60 and 152,401.20 is: 228,601.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,920.40 : 649,380.60 = 152,401.20 : x
  2. Step 2: Convert to fraction form
    432,920.40/649,380.60 = 152,401.20/x
  3. Step 3: Cross multiply
    432,920.40x = 649,380.60 × 152,401.20
  4. Step 4: Simplify right side
    432,920.40x = 98,966,382,696.72
  5. Step 5: Solve for x
    x = 98,966,382,696.72/432,920.40
  6. Step 6: Final answer
    x = 228,601.80

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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.