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Finding the Fourth Proportional to 391,310.40, 586,965.60 and 233,457.60

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Solution

The fourth proportional to 391,310.40, 586,965.60 and 233,457.60 is: 350,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,310.40 : 586,965.60 = 233,457.60 : x
  2. Step 2: Convert to fraction form
    391,310.40/586,965.60 = 233,457.60/x
  3. Step 3: Cross multiply
    391,310.40x = 586,965.60 × 233,457.60
  4. Step 4: Simplify right side
    391,310.40x = 137,031,580,258.56
  5. Step 5: Solve for x
    x = 137,031,580,258.56/391,310.40
  6. Step 6: Final answer
    x = 350,186.40

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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.