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Finding the Fourth Proportional to 412,980.90, 619,325.55 and 146,750.10

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Solution

The fourth proportional to 412,980.90, 619,325.55 and 146,750.10 is: 220,073.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,980.90 : 619,325.55 = 146,750.10 : x
  2. Step 2: Convert to fraction form
    412,980.90/619,325.55 = 146,750.10/x
  3. Step 3: Cross multiply
    412,980.90x = 619,325.55 × 146,750.10
  4. Step 4: Simplify right side
    412,980.90x = 90,886,086,395.06
  5. Step 5: Solve for x
    x = 90,886,086,395.06/412,980.90
  6. Step 6: Final answer
    x = 220,073.34

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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.