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Finding the Fourth Proportional to 564,856.72, 779,518.20 and 310,224.30

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Solution

The fourth proportional to 564,856.72, 779,518.20 and 310,224.30 is: 428,118.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,856.72 : 779,518.20 = 310,224.30 : x
  2. Step 2: Convert to fraction form
    564,856.72/779,518.20 = 310,224.30/x
  3. Step 3: Cross multiply
    564,856.72x = 779,518.20 × 310,224.30
  4. Step 4: Simplify right side
    564,856.72x = 241,825,487,932.26
  5. Step 5: Solve for x
    x = 241,825,487,932.26/564,856.72
  6. Step 6: Final answer
    x = 428,118.28

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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.