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Finding the Fourth Proportional to 561,698.84, 774,955.14 and 319,810.30

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Solution

The fourth proportional to 561,698.84, 774,955.14 and 319,810.30 is: 441,230.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,698.84 : 774,955.14 = 319,810.30 : x
  2. Step 2: Convert to fraction form
    561,698.84/774,955.14 = 319,810.30/x
  3. Step 3: Cross multiply
    561,698.84x = 774,955.14 × 319,810.30
  4. Step 4: Simplify right side
    561,698.84x = 247,838,635,809.94
  5. Step 5: Solve for x
    x = 247,838,635,809.94/561,698.84
  6. Step 6: Final answer
    x = 441,230.46

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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.