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Finding the Fourth Proportional to 432,345.17, 649,501.88 and 312,770.94

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Solution

The fourth proportional to 432,345.17, 649,501.88 and 312,770.94 is: 469,868.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,345.17 : 649,501.88 = 312,770.94 : x
  2. Step 2: Convert to fraction form
    432,345.17/649,501.88 = 312,770.94/x
  3. Step 3: Cross multiply
    432,345.17x = 649,501.88 × 312,770.94
  4. Step 4: Simplify right side
    432,345.17x = 203,145,311,975.51
  5. Step 5: Solve for x
    x = 203,145,311,975.51/432,345.17
  6. Step 6: Final answer
    x = 469,868.36

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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.