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Finding the Fourth Proportional to 561,767.84, 775,242.36 and 307,119.04

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Solution

The fourth proportional to 561,767.84, 775,242.36 and 307,119.04 is: 423,825.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,767.84 : 775,242.36 = 307,119.04 : x
  2. Step 2: Convert to fraction form
    561,767.84/775,242.36 = 307,119.04/x
  3. Step 3: Cross multiply
    561,767.84x = 775,242.36 × 307,119.04
  4. Step 4: Simplify right side
    561,767.84x = 238,091,689,370.53
  5. Step 5: Solve for x
    x = 238,091,689,370.53/561,767.84
  6. Step 6: Final answer
    x = 423,825.77

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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.