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Finding the Fourth Proportional to 668,156.78, 1,001,758.98 and 312,977

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Solution

The fourth proportional to 668,156.78, 1,001,758.98 and 312,977 is: 469,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,156.78 : 1,001,758.98 = 312,977 : x
  2. Step 2: Convert to fraction form
    668,156.78/1,001,758.98 = 312,977/x
  3. Step 3: Cross multiply
    668,156.78x = 1,001,758.98 × 312,977
  4. Step 4: Simplify right side
    668,156.78x = 313,527,520,283.46
  5. Step 5: Solve for x
    x = 313,527,520,283.46/668,156.78
  6. Step 6: Final answer
    x = 469,242.44

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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.