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Finding the Fourth Proportional to 564,187.95, 778,579.35 and 322,475.71

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Solution

The fourth proportional to 564,187.95, 778,579.35 and 322,475.71 is: 445,016.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,187.95 : 778,579.35 = 322,475.71 : x
  2. Step 2: Convert to fraction form
    564,187.95/778,579.35 = 322,475.71/x
  3. Step 3: Cross multiply
    564,187.95x = 778,579.35 × 322,475.71
  4. Step 4: Simplify right side
    564,187.95x = 251,072,928,682.59
  5. Step 5: Solve for x
    x = 251,072,928,682.59/564,187.95
  6. Step 6: Final answer
    x = 445,016.47

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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.