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Finding the Fourth Proportional to 412,282.48, 618,214.74 and 146,005.51

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Solution

The fourth proportional to 412,282.48, 618,214.74 and 146,005.51 is: 218,934.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,282.48 : 618,214.74 = 146,005.51 : x
  2. Step 2: Convert to fraction form
    412,282.48/618,214.74 = 146,005.51/x
  3. Step 3: Cross multiply
    412,282.48x = 618,214.74 × 146,005.51
  4. Step 4: Simplify right side
    412,282.48x = 90,262,758,403.22
  5. Step 5: Solve for x
    x = 90,262,758,403.22/412,282.48
  6. Step 6: Final answer
    x = 218,934.26

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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.