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Finding the Fourth Proportional to 564,048, 778,386.24 and 309,399.80

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Solution

The fourth proportional to 564,048, 778,386.24 and 309,399.80 is: 426,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,048 : 778,386.24 = 309,399.80 : x
  2. Step 2: Convert to fraction form
    564,048/778,386.24 = 309,399.80/x
  3. Step 3: Cross multiply
    564,048x = 778,386.24 × 309,399.80
  4. Step 4: Simplify right side
    564,048x = 240,832,543,086.82
  5. Step 5: Solve for x
    x = 240,832,543,086.82/564,048
  6. Step 6: Final answer
    x = 426,971.72

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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.