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Finding the Fourth Proportional to 312,079.95, 468,281.93 and 145,867.95

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Solution

The fourth proportional to 312,079.95, 468,281.93 and 145,867.95 is: 218,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,079.95 : 468,281.93 = 145,867.95 : x
  2. Step 2: Convert to fraction form
    312,079.95/468,281.93 = 145,867.95/x
  3. Step 3: Cross multiply
    312,079.95x = 468,281.93 × 145,867.95
  4. Step 4: Simplify right side
    312,079.95x = 68,307,324,421.80
  5. Step 5: Solve for x
    x = 68,307,324,421.80/312,079.95
  6. Step 6: Final answer
    x = 218,877.64

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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.