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Finding the Fourth Proportional to 398,715.61, 550,240.83 and 217,437.48

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Solution

The fourth proportional to 398,715.61, 550,240.83 and 217,437.48 is: 300,070.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,715.61 : 550,240.83 = 217,437.48 : x
  2. Step 2: Convert to fraction form
    398,715.61/550,240.83 = 217,437.48/x
  3. Step 3: Cross multiply
    398,715.61x = 550,240.83 × 217,437.48
  4. Step 4: Simplify right side
    398,715.61x = 119,642,976,717.10
  5. Step 5: Solve for x
    x = 119,642,976,717.10/398,715.61
  6. Step 6: Final answer
    x = 300,070.96

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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.