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Finding the Fourth Proportional to 284,399.81, 392,464.68 and 163,538.21

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Solution

The fourth proportional to 284,399.81, 392,464.68 and 163,538.21 is: 225,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,399.81 : 392,464.68 = 163,538.21 : x
  2. Step 2: Convert to fraction form
    284,399.81/392,464.68 = 163,538.21/x
  3. Step 3: Cross multiply
    284,399.81x = 392,464.68 × 163,538.21
  4. Step 4: Simplify right side
    284,399.81x = 64,182,970,437.73
  5. Step 5: Solve for x
    x = 64,182,970,437.73/284,399.81
  6. Step 6: Final answer
    x = 225,678.67

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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.