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Finding the Fourth Proportional to 409,029.06, 564,171.48 and 354,482.55

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Solution

The fourth proportional to 409,029.06, 564,171.48 and 354,482.55 is: 488,935.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,029.06 : 564,171.48 = 354,482.55 : x
  2. Step 2: Convert to fraction form
    409,029.06/564,171.48 = 354,482.55/x
  3. Step 3: Cross multiply
    409,029.06x = 564,171.48 × 354,482.55
  4. Step 4: Simplify right side
    409,029.06x = 199,988,944,867.67
  5. Step 5: Solve for x
    x = 199,988,944,867.67/409,029.06
  6. Step 6: Final answer
    x = 488,935.79

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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.