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Finding the Fourth Proportional to 564,934.92, 779,602.91 and 310,269.71

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Solution

The fourth proportional to 564,934.92, 779,602.91 and 310,269.71 is: 428,168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,934.92 : 779,602.91 = 310,269.71 : x
  2. Step 2: Convert to fraction form
    564,934.92/779,602.91 = 310,269.71/x
  3. Step 3: Cross multiply
    564,934.92x = 779,602.91 × 310,269.71
  4. Step 4: Simplify right side
    564,934.92x = 241,887,163,351.49
  5. Step 5: Solve for x
    x = 241,887,163,351.49/564,934.92
  6. Step 6: Final answer
    x = 428,168.19

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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.