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Finding the Fourth Proportional to 564,864.47, 779,512.01 and 310,215.66

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Solution

The fourth proportional to 564,864.47, 779,512.01 and 310,215.66 is: 428,097.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,864.47 : 779,512.01 = 310,215.66 : x
  2. Step 2: Convert to fraction form
    564,864.47/779,512.01 = 310,215.66/x
  3. Step 3: Cross multiply
    564,864.47x = 779,512.01 × 310,215.66
  4. Step 4: Simplify right side
    564,864.47x = 241,816,828,185.83
  5. Step 5: Solve for x
    x = 241,816,828,185.83/564,864.47
  6. Step 6: Final answer
    x = 428,097.08

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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.