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Finding the Fourth Proportional to 617,906.40, 927,442.80 and 381,710.40

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Solution

The fourth proportional to 617,906.40, 927,442.80 and 381,710.40 is: 572,925.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,906.40 : 927,442.80 = 381,710.40 : x
  2. Step 2: Convert to fraction form
    617,906.40/927,442.80 = 381,710.40/x
  3. Step 3: Cross multiply
    617,906.40x = 927,442.80 × 381,710.40
  4. Step 4: Simplify right side
    617,906.40x = 354,014,562,165.12
  5. Step 5: Solve for x
    x = 354,014,562,165.12/617,906.40
  6. Step 6: Final answer
    x = 572,925.87

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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.