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Finding the Fourth Proportional to 415,055.10, 622,582.65 and 412,430.70

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Solution

The fourth proportional to 415,055.10, 622,582.65 and 412,430.70 is: 618,646.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,055.10 : 622,582.65 = 412,430.70 : x
  2. Step 2: Convert to fraction form
    415,055.10/622,582.65 = 412,430.70/x
  3. Step 3: Cross multiply
    415,055.10x = 622,582.65 × 412,430.70
  4. Step 4: Simplify right side
    415,055.10x = 256,772,198,147.36
  5. Step 5: Solve for x
    x = 256,772,198,147.36/415,055.10
  6. Step 6: Final answer
    x = 618,646.05

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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.