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Finding the Fourth Proportional to 564,565.94, 779,103.73 and 309,917.13

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Solution

The fourth proportional to 564,565.94, 779,103.73 and 309,917.13 is: 427,687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,565.94 : 779,103.73 = 309,917.13 : x
  2. Step 2: Convert to fraction form
    564,565.94/779,103.73 = 309,917.13/x
  3. Step 3: Cross multiply
    564,565.94x = 779,103.73 × 309,917.13
  4. Step 4: Simplify right side
    564,565.94x = 241,457,591,973.90
  5. Step 5: Solve for x
    x = 241,457,591,973.90/564,565.94
  6. Step 6: Final answer
    x = 427,687.14

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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.