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Finding the Fourth Proportional to 561,594.47, 774,988.97 and 306,947.48

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Solution

The fourth proportional to 561,594.47, 774,988.97 and 306,947.48 is: 423,581.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,594.47 : 774,988.97 = 306,947.48 : x
  2. Step 2: Convert to fraction form
    561,594.47/774,988.97 = 306,947.48/x
  3. Step 3: Cross multiply
    561,594.47x = 774,988.97 × 306,947.48
  4. Step 4: Simplify right side
    561,594.47x = 237,880,905,959.61
  5. Step 5: Solve for x
    x = 237,880,905,959.61/561,594.47
  6. Step 6: Final answer
    x = 423,581.29

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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.