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Finding the Fourth Proportional to 314,926.80, 472,390.20 and 302,679.60

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Solution

The fourth proportional to 314,926.80, 472,390.20 and 302,679.60 is: 454,019.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,926.80 : 472,390.20 = 302,679.60 : x
  2. Step 2: Convert to fraction form
    314,926.80/472,390.20 = 302,679.60/x
  3. Step 3: Cross multiply
    314,926.80x = 472,390.20 × 302,679.60
  4. Step 4: Simplify right side
    314,926.80x = 142,982,876,779.92
  5. Step 5: Solve for x
    x = 142,982,876,779.92/314,926.80
  6. Step 6: Final answer
    x = 454,019.40

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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.