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Finding the Fourth Proportional to 518,331.16, 776,964.06 and 198,408

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Solution

The fourth proportional to 518,331.16, 776,964.06 and 198,408 is: 297,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,331.16 : 776,964.06 = 198,408 : x
  2. Step 2: Convert to fraction form
    518,331.16/776,964.06 = 198,408/x
  3. Step 3: Cross multiply
    518,331.16x = 776,964.06 × 198,408
  4. Step 4: Simplify right side
    518,331.16x = 154,155,885,216.48
  5. Step 5: Solve for x
    x = 154,155,885,216.48/518,331.16
  6. Step 6: Final answer
    x = 297,408.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.