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Finding the Fourth Proportional to 376,431.40, 564,647.10 and 189,807.40

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Solution

The fourth proportional to 376,431.40, 564,647.10 and 189,807.40 is: 284,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,431.40 : 564,647.10 = 189,807.40 : x
  2. Step 2: Convert to fraction form
    376,431.40/564,647.10 = 189,807.40/x
  3. Step 3: Cross multiply
    376,431.40x = 564,647.10 × 189,807.40
  4. Step 4: Simplify right side
    376,431.40x = 107,174,197,968.54
  5. Step 5: Solve for x
    x = 107,174,197,968.54/376,431.40
  6. Step 6: Final answer
    x = 284,711.10

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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.