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Finding the Fourth Proportional to 564,864.18, 779,530.53 and 310,215.37

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Solution

The fourth proportional to 564,864.18, 779,530.53 and 310,215.37 is: 428,107.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,864.18 : 779,530.53 = 310,215.37 : x
  2. Step 2: Convert to fraction form
    564,864.18/779,530.53 = 310,215.37/x
  3. Step 3: Cross multiply
    564,864.18x = 779,530.53 × 310,215.37
  4. Step 4: Simplify right side
    564,864.18x = 241,822,351,790.25
  5. Step 5: Solve for x
    x = 241,822,351,790.25/564,864.18
  6. Step 6: Final answer
    x = 428,107.07

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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.