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Finding the Fourth Proportional to 310,411.54, 465,543.45 and 85,767.05

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Solution

The fourth proportional to 310,411.54, 465,543.45 and 85,767.05 is: 128,630.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,411.54 : 465,543.45 = 85,767.05 : x
  2. Step 2: Convert to fraction form
    310,411.54/465,543.45 = 85,767.05/x
  3. Step 3: Cross multiply
    310,411.54x = 465,543.45 × 85,767.05
  4. Step 4: Simplify right side
    310,411.54x = 39,928,289,517.18
  5. Step 5: Solve for x
    x = 39,928,289,517.18/310,411.54
  6. Step 6: Final answer
    x = 128,630.17

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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.