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Finding the Fourth Proportional to 518,506.36, 715,534.50 and 289,060.90

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Solution

The fourth proportional to 518,506.36, 715,534.50 and 289,060.90 is: 398,901.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,506.36 : 715,534.50 = 289,060.90 : x
  2. Step 2: Convert to fraction form
    518,506.36/715,534.50 = 289,060.90/x
  3. Step 3: Cross multiply
    518,506.36x = 715,534.50 × 289,060.90
  4. Step 4: Simplify right side
    518,506.36x = 206,833,046,551.05
  5. Step 5: Solve for x
    x = 206,833,046,551.05/518,506.36
  6. Step 6: Final answer
    x = 398,901.66

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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.