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Finding the Fourth Proportional to 313,478.46, 432,732.66 and 211,641.84

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Solution

The fourth proportional to 313,478.46, 432,732.66 and 211,641.84 is: 292,155.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,478.46 : 432,732.66 = 211,641.84 : x
  2. Step 2: Convert to fraction form
    313,478.46/432,732.66 = 211,641.84/x
  3. Step 3: Cross multiply
    313,478.46x = 432,732.66 × 211,641.84
  4. Step 4: Simplify right side
    313,478.46x = 91,584,336,390.49
  5. Step 5: Solve for x
    x = 91,584,336,390.49/313,478.46
  6. Step 6: Final answer
    x = 292,155.12

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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.