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Finding the Fourth Proportional to 378,510.80, 522,356.56 and 217,398.15

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Solution

The fourth proportional to 378,510.80, 522,356.56 and 217,398.15 is: 300,016.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,510.80 : 522,356.56 = 217,398.15 : x
  2. Step 2: Convert to fraction form
    378,510.80/522,356.56 = 217,398.15/x
  3. Step 3: Cross multiply
    378,510.80x = 522,356.56 × 217,398.15
  4. Step 4: Simplify right side
    378,510.80x = 113,559,349,784.36
  5. Step 5: Solve for x
    x = 113,559,349,784.36/378,510.80
  6. Step 6: Final answer
    x = 300,016.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.