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Finding the Fourth Proportional to 518,325.15, 776,955.06 and 198,402

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Solution

The fourth proportional to 518,325.15, 776,955.06 and 198,402 is: 297,399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,325.15 : 776,955.06 = 198,402 : x
  2. Step 2: Convert to fraction form
    518,325.15/776,955.06 = 198,402/x
  3. Step 3: Cross multiply
    518,325.15x = 776,955.06 × 198,402
  4. Step 4: Simplify right side
    518,325.15x = 154,149,437,814.12
  5. Step 5: Solve for x
    x = 154,149,437,814.12/518,325.15
  6. Step 6: Final answer
    x = 297,399.11

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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.