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Finding the Fourth Proportional to 561,034.45, 842,080.20 and 294,985.90

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Solution

The fourth proportional to 561,034.45, 842,080.20 and 294,985.90 is: 442,756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,034.45 : 842,080.20 = 294,985.90 : x
  2. Step 2: Convert to fraction form
    561,034.45/842,080.20 = 294,985.90/x
  3. Step 3: Cross multiply
    561,034.45x = 842,080.20 × 294,985.90
  4. Step 4: Simplify right side
    561,034.45x = 248,401,785,669.18
  5. Step 5: Solve for x
    x = 248,401,785,669.18/561,034.45
  6. Step 6: Final answer
    x = 442,756.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.