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Finding the Fourth Proportional to 617,647.87, 926,738.09 and 238,835.31

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Solution

The fourth proportional to 617,647.87, 926,738.09 and 238,835.31 is: 358,355.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,647.87 : 926,738.09 = 238,835.31 : x
  2. Step 2: Convert to fraction form
    617,647.87/926,738.09 = 238,835.31/x
  3. Step 3: Cross multiply
    617,647.87x = 926,738.09 × 238,835.31
  4. Step 4: Simplify right side
    617,647.87x = 221,337,779,013.96
  5. Step 5: Solve for x
    x = 221,337,779,013.96/617,647.87
  6. Step 6: Final answer
    x = 358,355.93

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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.