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Finding the Fourth Proportional to 564,978.51, 779,480.28 and 319,929.75

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Solution

The fourth proportional to 564,978.51, 779,480.28 and 319,929.75 is: 441,395.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,978.51 : 779,480.28 = 319,929.75 : x
  2. Step 2: Convert to fraction form
    564,978.51/779,480.28 = 319,929.75/x
  3. Step 3: Cross multiply
    564,978.51x = 779,480.28 × 319,929.75
  4. Step 4: Simplify right side
    564,978.51x = 249,378,931,110.33
  5. Step 5: Solve for x
    x = 249,378,931,110.33/564,978.51
  6. Step 6: Final answer
    x = 441,395.43

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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.