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Finding the Fourth Proportional to 409,658.24, 564,844.80 and 280,658.56

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Solution

The fourth proportional to 409,658.24, 564,844.80 and 280,658.56 is: 386,977.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,658.24 : 564,844.80 = 280,658.56 : x
  2. Step 2: Convert to fraction form
    409,658.24/564,844.80 = 280,658.56/x
  3. Step 3: Cross multiply
    409,658.24x = 564,844.80 × 280,658.56
  4. Step 4: Simplify right side
    409,658.24x = 158,528,528,191.49
  5. Step 5: Solve for x
    x = 158,528,528,191.49/409,658.24
  6. Step 6: Final answer
    x = 386,977.52

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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.