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Finding the Fourth Proportional to 564,870.24, 779,524.56 and 310,219.20

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Solution

The fourth proportional to 564,870.24, 779,524.56 and 310,219.20 is: 428,104.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,870.24 : 779,524.56 = 310,219.20 : x
  2. Step 2: Convert to fraction form
    564,870.24/779,524.56 = 310,219.20/x
  3. Step 3: Cross multiply
    564,870.24x = 779,524.56 × 310,219.20
  4. Step 4: Simplify right side
    564,870.24x = 241,823,485,383.55
  5. Step 5: Solve for x
    x = 241,823,485,383.55/564,870.24
  6. Step 6: Final answer
    x = 428,104.49

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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.