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Finding the Fourth Proportional to 564,681.36, 779,158.62 and 319,664.46

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Solution

The fourth proportional to 564,681.36, 779,158.62 and 319,664.46 is: 441,079.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,681.36 : 779,158.62 = 319,664.46 : x
  2. Step 2: Convert to fraction form
    564,681.36/779,158.62 = 319,664.46/x
  3. Step 3: Cross multiply
    564,681.36x = 779,158.62 × 319,664.46
  4. Step 4: Simplify right side
    564,681.36x = 249,069,319,516.65
  5. Step 5: Solve for x
    x = 249,069,319,516.65/564,681.36
  6. Step 6: Final answer
    x = 441,079.41

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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.