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Finding the Fourth Proportional to 564,689.94, 779,273.45 and 310,057.53

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Solution

The fourth proportional to 564,689.94, 779,273.45 and 310,057.53 is: 427,880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,689.94 : 779,273.45 = 310,057.53 : x
  2. Step 2: Convert to fraction form
    564,689.94/779,273.45 = 310,057.53/x
  3. Step 3: Cross multiply
    564,689.94x = 779,273.45 × 310,057.53
  4. Step 4: Simplify right side
    564,689.94x = 241,619,601,101.58
  5. Step 5: Solve for x
    x = 241,619,601,101.58/564,689.94
  6. Step 6: Final answer
    x = 427,880.12

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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.