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Finding the Fourth Proportional to 407,328.63, 610,812.52 and 217,743.07

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Solution

The fourth proportional to 407,328.63, 610,812.52 and 217,743.07 is: 326,518.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,328.63 : 610,812.52 = 217,743.07 : x
  2. Step 2: Convert to fraction form
    407,328.63/610,812.52 = 217,743.07/x
  3. Step 3: Cross multiply
    407,328.63x = 610,812.52 × 217,743.07
  4. Step 4: Simplify right side
    407,328.63x = 133,000,193,299.24
  5. Step 5: Solve for x
    x = 133,000,193,299.24/407,328.63
  6. Step 6: Final answer
    x = 326,518.16

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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.