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Finding the Fourth Proportional to 610,564.32, 915,659.91 and 422,235

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Solution

The fourth proportional to 610,564.32, 915,659.91 and 422,235 is: 633,223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,564.32 : 915,659.91 = 422,235 : x
  2. Step 2: Convert to fraction form
    610,564.32/915,659.91 = 422,235/x
  3. Step 3: Cross multiply
    610,564.32x = 915,659.91 × 422,235
  4. Step 4: Simplify right side
    610,564.32x = 386,623,662,098.85
  5. Step 5: Solve for x
    x = 386,623,662,098.85/610,564.32
  6. Step 6: Final answer
    x = 633,223.48

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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.