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Finding the Fourth Proportional to 518,412, 715,408.56 and 279,948

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Solution

The fourth proportional to 518,412, 715,408.56 and 279,948 is: 386,328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,412 : 715,408.56 = 279,948 : x
  2. Step 2: Convert to fraction form
    518,412/715,408.56 = 279,948/x
  3. Step 3: Cross multiply
    518,412x = 715,408.56 × 279,948
  4. Step 4: Simplify right side
    518,412x = 200,277,195,554.88
  5. Step 5: Solve for x
    x = 200,277,195,554.88/518,412
  6. Step 6: Final answer
    x = 386,328.24

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1.5x scale

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.