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Finding the Fourth Proportional to 518,443.94, 715,288.73 and 409,203.29

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Solution

The fourth proportional to 518,443.94, 715,288.73 and 409,203.29 is: 564,571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,443.94 : 715,288.73 = 409,203.29 : x
  2. Step 2: Convert to fraction form
    518,443.94/715,288.73 = 409,203.29/x
  3. Step 3: Cross multiply
    518,443.94x = 715,288.73 × 409,203.29
  4. Step 4: Simplify right side
    518,443.94x = 292,698,501,358.13
  5. Step 5: Solve for x
    x = 292,698,501,358.13/518,443.94
  6. Step 6: Final answer
    x = 564,571.17

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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.