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Finding the Fourth Proportional to 478,770.75, 660,830.81 and 282,709.04

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Solution

The fourth proportional to 478,770.75, 660,830.81 and 282,709.04 is: 390,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,770.75 : 660,830.81 = 282,709.04 : x
  2. Step 2: Convert to fraction form
    478,770.75/660,830.81 = 282,709.04/x
  3. Step 3: Cross multiply
    478,770.75x = 660,830.81 × 282,709.04
  4. Step 4: Simplify right side
    478,770.75x = 186,822,839,179.82
  5. Step 5: Solve for x
    x = 186,822,839,179.82/478,770.75
  6. Step 6: Final answer
    x = 390,213.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.