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Finding the Fourth Proportional to 561,638.32, 774,970.38 and 319,925.61

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Solution

The fourth proportional to 561,638.32, 774,970.38 and 319,925.61 is: 441,445.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,638.32 : 774,970.38 = 319,925.61 : x
  2. Step 2: Convert to fraction form
    561,638.32/774,970.38 = 319,925.61/x
  3. Step 3: Cross multiply
    561,638.32x = 774,970.38 × 319,925.61
  4. Step 4: Simplify right side
    561,638.32x = 247,932,871,891.23
  5. Step 5: Solve for x
    x = 247,932,871,891.23/561,638.32
  6. Step 6: Final answer
    x = 441,445.79

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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.