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Finding the Fourth Proportional to 564,471.72, 778,959.86 and 319,451.94

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Solution

The fourth proportional to 564,471.72, 778,959.86 and 319,451.94 is: 440,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,471.72 : 778,959.86 = 319,451.94 : x
  2. Step 2: Convert to fraction form
    564,471.72/778,959.86 = 319,451.94/x
  3. Step 3: Cross multiply
    564,471.72x = 778,959.86 × 319,451.94
  4. Step 4: Simplify right side
    564,471.72x = 248,840,236,861.87
  5. Step 5: Solve for x
    x = 248,840,236,861.87/564,471.72
  6. Step 6: Final answer
    x = 440,837.38

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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.