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Finding the Fourth Proportional to 564,864.40, 779,477.88 and 310,161.52

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Solution

The fourth proportional to 564,864.40, 779,477.88 and 310,161.52 is: 428,003.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,864.40 : 779,477.88 = 310,161.52 : x
  2. Step 2: Convert to fraction form
    564,864.40/779,477.88 = 310,161.52/x
  3. Step 3: Cross multiply
    564,864.40x = 779,477.88 × 310,161.52
  4. Step 4: Simplify right side
    564,864.40x = 241,764,044,067.18
  5. Step 5: Solve for x
    x = 241,764,044,067.18/564,864.40
  6. Step 6: Final answer
    x = 428,003.68

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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.