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Finding the Fourth Proportional to 412,230.60, 618,345.90 and 146,291.40

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Solution

The fourth proportional to 412,230.60, 618,345.90 and 146,291.40 is: 219,437.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,230.60 : 618,345.90 = 146,291.40 : x
  2. Step 2: Convert to fraction form
    412,230.60/618,345.90 = 146,291.40/x
  3. Step 3: Cross multiply
    412,230.60x = 618,345.90 × 146,291.40
  4. Step 4: Simplify right side
    412,230.60x = 90,458,687,395.26
  5. Step 5: Solve for x
    x = 90,458,687,395.26/412,230.60
  6. Step 6: Final answer
    x = 219,437.10

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1.5x scale

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.