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Finding the Fourth Proportional to 398,718.96, 550,222.17 and 217,434.38

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Solution

The fourth proportional to 398,718.96, 550,222.17 and 217,434.38 is: 300,053.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,718.96 : 550,222.17 = 217,434.38 : x
  2. Step 2: Convert to fraction form
    398,718.96/550,222.17 = 217,434.38/x
  3. Step 3: Cross multiply
    398,718.96x = 550,222.17 × 217,434.38
  4. Step 4: Simplify right side
    398,718.96x = 119,637,212,829.72
  5. Step 5: Solve for x
    x = 119,637,212,829.72/398,718.96
  6. Step 6: Final answer
    x = 300,053.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.