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Finding the Fourth Proportional to 370,155.52, 510,816.24 and 200,389.64

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Solution

The fourth proportional to 370,155.52, 510,816.24 and 200,389.64 is: 276,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,155.52 : 510,816.24 = 200,389.64 : x
  2. Step 2: Convert to fraction form
    370,155.52/510,816.24 = 200,389.64/x
  3. Step 3: Cross multiply
    370,155.52x = 510,816.24 × 200,389.64
  4. Step 4: Simplify right side
    370,155.52x = 102,362,282,439.75
  5. Step 5: Solve for x
    x = 102,362,282,439.75/370,155.52
  6. Step 6: Final answer
    x = 276,538.58

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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.