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Finding the Fourth Proportional to 310,301.40, 465,452.10 and 278,808.60

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Solution

The fourth proportional to 310,301.40, 465,452.10 and 278,808.60 is: 418,212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,301.40 : 465,452.10 = 278,808.60 : x
  2. Step 2: Convert to fraction form
    310,301.40/465,452.10 = 278,808.60/x
  3. Step 3: Cross multiply
    310,301.40x = 465,452.10 × 278,808.60
  4. Step 4: Simplify right side
    310,301.40x = 129,772,048,368.06
  5. Step 5: Solve for x
    x = 129,772,048,368.06/310,301.40
  6. Step 6: Final answer
    x = 418,212.90

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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.