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Finding the Fourth Proportional to 564,632.62, 779,193.78 and 306,509.50

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Solution

The fourth proportional to 564,632.62, 779,193.78 and 306,509.50 is: 422,983.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,632.62 : 779,193.78 = 306,509.50 : x
  2. Step 2: Convert to fraction form
    564,632.62/779,193.78 = 306,509.50/x
  3. Step 3: Cross multiply
    564,632.62x = 779,193.78 × 306,509.50
  4. Step 4: Simplify right side
    564,632.62x = 238,830,295,910.91
  5. Step 5: Solve for x
    x = 238,830,295,910.91/564,632.62
  6. Step 6: Final answer
    x = 422,983.52

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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.