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Finding the Fourth Proportional to 432,346.37, 649,503.71 and 312,772.15

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Solution

The fourth proportional to 432,346.37, 649,503.71 and 312,772.15 is: 469,870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,346.37 : 649,503.71 = 312,772.15 : x
  2. Step 2: Convert to fraction form
    432,346.37/649,503.71 = 312,772.15/x
  3. Step 3: Cross multiply
    432,346.37x = 649,503.71 × 312,772.15
  4. Step 4: Simplify right side
    432,346.37x = 203,146,670,967.85
  5. Step 5: Solve for x
    x = 203,146,670,967.85/432,346.37
  6. Step 6: Final answer
    x = 469,870.19

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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.