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Finding the Fourth Proportional to 307,862.80, 460,919.40 and 272,870.80

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Solution

The fourth proportional to 307,862.80, 460,919.40 and 272,870.80 is: 408,530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,862.80 : 460,919.40 = 272,870.80 : x
  2. Step 2: Convert to fraction form
    307,862.80/460,919.40 = 272,870.80/x
  3. Step 3: Cross multiply
    307,862.80x = 460,919.40 × 272,870.80
  4. Step 4: Simplify right side
    307,862.80x = 125,771,445,413.52
  5. Step 5: Solve for x
    x = 125,771,445,413.52/307,862.80
  6. Step 6: Final answer
    x = 408,530.83

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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.