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Finding the Fourth Proportional to 313,884.46, 432,428.34 and 218,225.08

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Solution

The fourth proportional to 313,884.46, 432,428.34 and 218,225.08 is: 300,641.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,884.46 : 432,428.34 = 218,225.08 : x
  2. Step 2: Convert to fraction form
    313,884.46/432,428.34 = 218,225.08/x
  3. Step 3: Cross multiply
    313,884.46x = 432,428.34 × 218,225.08
  4. Step 4: Simplify right side
    313,884.46x = 94,366,708,009.70
  5. Step 5: Solve for x
    x = 94,366,708,009.70/313,884.46
  6. Step 6: Final answer
    x = 300,641.54

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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.