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Finding the Fourth Proportional to 409,037.88, 564,319.59 and 408,406.38

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Solution

The fourth proportional to 409,037.88, 564,319.59 and 408,406.38 is: 563,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,037.88 : 564,319.59 = 408,406.38 : x
  2. Step 2: Convert to fraction form
    409,037.88/564,319.59 = 408,406.38/x
  3. Step 3: Cross multiply
    409,037.88x = 564,319.59 × 408,406.38
  4. Step 4: Simplify right side
    409,037.88x = 230,471,720,914.98
  5. Step 5: Solve for x
    x = 230,471,720,914.98/409,037.88
  6. Step 6: Final answer
    x = 563,448.36

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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.