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Finding the Fourth Proportional to 312,503.76, 468,777.48 and 154,689.84

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Solution

The fourth proportional to 312,503.76, 468,777.48 and 154,689.84 is: 232,045.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,503.76 : 468,777.48 = 154,689.84 : x
  2. Step 2: Convert to fraction form
    312,503.76/468,777.48 = 154,689.84/x
  3. Step 3: Cross multiply
    312,503.76x = 468,777.48 × 154,689.84
  4. Step 4: Simplify right side
    312,503.76x = 72,515,113,376.80
  5. Step 5: Solve for x
    x = 72,515,113,376.80/312,503.76
  6. Step 6: Final answer
    x = 232,045.57

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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.