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Finding the Fourth Proportional to 564,682.36, 779,160 and 319,665.46

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Solution

The fourth proportional to 564,682.36, 779,160 and 319,665.46 is: 441,080.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,682.36 : 779,160 = 319,665.46 : x
  2. Step 2: Convert to fraction form
    564,682.36/779,160 = 319,665.46/x
  3. Step 3: Cross multiply
    564,682.36x = 779,160 × 319,665.46
  4. Step 4: Simplify right side
    564,682.36x = 249,070,539,813.60
  5. Step 5: Solve for x
    x = 249,070,539,813.60/564,682.36
  6. Step 6: Final answer
    x = 441,080.79

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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.