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Finding the Fourth Proportional to 518,966, 716,173.16 and 280,502

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Solution

The fourth proportional to 518,966, 716,173.16 and 280,502 is: 387,092.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,966 : 716,173.16 = 280,502 : x
  2. Step 2: Convert to fraction form
    518,966/716,173.16 = 280,502/x
  3. Step 3: Cross multiply
    518,966x = 716,173.16 × 280,502
  4. Step 4: Simplify right side
    518,966x = 200,888,003,726.32
  5. Step 5: Solve for x
    x = 200,888,003,726.32/518,966
  6. Step 6: Final answer
    x = 387,092.80

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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.