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Finding the Fourth Proportional to 564,964, 779,651.04 and 310,320.16

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Solution

The fourth proportional to 564,964, 779,651.04 and 310,320.16 is: 428,242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,964 : 779,651.04 = 310,320.16 : x
  2. Step 2: Convert to fraction form
    564,964/779,651.04 = 310,320.16/x
  3. Step 3: Cross multiply
    564,964x = 779,651.04 × 310,320.16
  4. Step 4: Simplify right side
    564,964x = 241,941,435,476.97
  5. Step 5: Solve for x
    x = 241,941,435,476.97/564,964
  6. Step 6: Final answer
    x = 428,242.22

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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.