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Finding the Fourth Proportional to 611,140, 917,078.64 and 260,932

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Solution

The fourth proportional to 611,140, 917,078.64 and 260,932 is: 391,555.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,140 : 917,078.64 = 260,932 : x
  2. Step 2: Convert to fraction form
    611,140/917,078.64 = 260,932/x
  3. Step 3: Cross multiply
    611,140x = 917,078.64 × 260,932
  4. Step 4: Simplify right side
    611,140x = 239,295,163,692.48
  5. Step 5: Solve for x
    x = 239,295,163,692.48/611,140
  6. Step 6: Final answer
    x = 391,555.39

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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.