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Finding the Fourth Proportional to 308,280.50, 462,379.03 and 83,655.35

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Solution

The fourth proportional to 308,280.50, 462,379.03 and 83,655.35 is: 125,471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,280.50 : 462,379.03 = 83,655.35 : x
  2. Step 2: Convert to fraction form
    308,280.50/462,379.03 = 83,655.35/x
  3. Step 3: Cross multiply
    308,280.50x = 462,379.03 × 83,655.35
  4. Step 4: Simplify right side
    308,280.50x = 38,680,477,066.28
  5. Step 5: Solve for x
    x = 38,680,477,066.28/308,280.50
  6. Step 6: Final answer
    x = 125,471.70

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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.