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Finding the Fourth Proportional to 391,088.72, 586,851.07 and 211,170.34

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Solution

The fourth proportional to 391,088.72, 586,851.07 and 211,170.34 is: 316,873.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,088.72 : 586,851.07 = 211,170.34 : x
  2. Step 2: Convert to fraction form
    391,088.72/586,851.07 = 211,170.34/x
  3. Step 3: Cross multiply
    391,088.72x = 586,851.07 × 211,170.34
  4. Step 4: Simplify right side
    391,088.72x = 123,925,539,981.26
  5. Step 5: Solve for x
    x = 123,925,539,981.26/391,088.72
  6. Step 6: Final answer
    x = 316,873.21

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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.