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Finding the Fourth Proportional to 564,704.76, 779,305.14 and 310,056.96

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Solution

The fourth proportional to 564,704.76, 779,305.14 and 310,056.96 is: 427,885.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,704.76 : 779,305.14 = 310,056.96 : x
  2. Step 2: Convert to fraction form
    564,704.76/779,305.14 = 310,056.96/x
  3. Step 3: Cross multiply
    564,704.76x = 779,305.14 × 310,056.96
  4. Step 4: Simplify right side
    564,704.76x = 241,628,982,620.77
  5. Step 5: Solve for x
    x = 241,628,982,620.77/564,704.76
  6. Step 6: Final answer
    x = 427,885.51

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Double scale
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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.