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Finding the Fourth Proportional to 561,437.80, 842,422.29 and 291,422.44

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Solution

The fourth proportional to 561,437.80, 842,422.29 and 291,422.44 is: 437,271.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,437.80 : 842,422.29 = 291,422.44 : x
  2. Step 2: Convert to fraction form
    561,437.80/842,422.29 = 291,422.44/x
  3. Step 3: Cross multiply
    561,437.80x = 842,422.29 × 291,422.44
  4. Step 4: Simplify right side
    561,437.80x = 245,500,759,262.19
  5. Step 5: Solve for x
    x = 245,500,759,262.19/561,437.80
  6. Step 6: Final answer
    x = 437,271.52

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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.