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Finding the Fourth Proportional to 474,859, 712,288.50 and 142,435

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Solution

The fourth proportional to 474,859, 712,288.50 and 142,435 is: 213,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,859 : 712,288.50 = 142,435 : x
  2. Step 2: Convert to fraction form
    474,859/712,288.50 = 142,435/x
  3. Step 3: Cross multiply
    474,859x = 712,288.50 × 142,435
  4. Step 4: Simplify right side
    474,859x = 101,454,812,497.50
  5. Step 5: Solve for x
    x = 101,454,812,497.50/474,859
  6. Step 6: Final answer
    x = 213,652.50

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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.