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Finding the Fourth Proportional to 391,215.46, 539,840 and 310,837.54

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Solution

The fourth proportional to 391,215.46, 539,840 and 310,837.54 is: 428,926.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,215.46 : 539,840 = 310,837.54 : x
  2. Step 2: Convert to fraction form
    391,215.46/539,840 = 310,837.54/x
  3. Step 3: Cross multiply
    391,215.46x = 539,840 × 310,837.54
  4. Step 4: Simplify right side
    391,215.46x = 167,802,537,593.60
  5. Step 5: Solve for x
    x = 167,802,537,593.60/391,215.46
  6. Step 6: Final answer
    x = 428,926.14

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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.