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Finding the Fourth Proportional to 432,898.71, 649,479.47 and 208,195.38

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Solution

The fourth proportional to 432,898.71, 649,479.47 and 208,195.38 is: 312,356.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,898.71 : 649,479.47 = 208,195.38 : x
  2. Step 2: Convert to fraction form
    432,898.71/649,479.47 = 208,195.38/x
  3. Step 3: Cross multiply
    432,898.71x = 649,479.47 × 208,195.38
  4. Step 4: Simplify right side
    432,898.71x = 135,218,624,017.87
  5. Step 5: Solve for x
    x = 135,218,624,017.87/432,898.71
  6. Step 6: Final answer
    x = 312,356.26

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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.