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Finding the Fourth Proportional to 522,057.40, 783,086.10 and 417,081.40

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Solution

The fourth proportional to 522,057.40, 783,086.10 and 417,081.40 is: 625,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,057.40 : 783,086.10 = 417,081.40 : x
  2. Step 2: Convert to fraction form
    522,057.40/783,086.10 = 417,081.40/x
  3. Step 3: Cross multiply
    522,057.40x = 783,086.10 × 417,081.40
  4. Step 4: Simplify right side
    522,057.40x = 326,610,646,908.54
  5. Step 5: Solve for x
    x = 326,610,646,908.54/522,057.40
  6. Step 6: Final answer
    x = 625,622.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.