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Finding the Fourth Proportional to 311,920.77, 468,088.80 and 169,801.92

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Solution

The fourth proportional to 311,920.77, 468,088.80 and 169,801.92 is: 254,815.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,920.77 : 468,088.80 = 169,801.92 : x
  2. Step 2: Convert to fraction form
    311,920.77/468,088.80 = 169,801.92/x
  3. Step 3: Cross multiply
    311,920.77x = 468,088.80 × 169,801.92
  4. Step 4: Simplify right side
    311,920.77x = 79,482,376,970.50
  5. Step 5: Solve for x
    x = 79,482,376,970.50/311,920.77
  6. Step 6: Final answer
    x = 254,815.92

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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.