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Finding the Fourth Proportional to 564,503.97, 778,988.91 and 306,375.10

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Solution

The fourth proportional to 564,503.97, 778,988.91 and 306,375.10 is: 422,783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,503.97 : 778,988.91 = 306,375.10 : x
  2. Step 2: Convert to fraction form
    564,503.97/778,988.91 = 306,375.10/x
  3. Step 3: Cross multiply
    564,503.97x = 778,988.91 × 306,375.10
  4. Step 4: Simplify right side
    564,503.97x = 238,662,805,200.14
  5. Step 5: Solve for x
    x = 238,662,805,200.14/564,503.97
  6. Step 6: Final answer
    x = 422,783.22

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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.