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Finding the Fourth Proportional to 398,722.13, 550,328.90 and 262,780.24

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Solution

The fourth proportional to 398,722.13, 550,328.90 and 262,780.24 is: 362,697.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,722.13 : 550,328.90 = 262,780.24 : x
  2. Step 2: Convert to fraction form
    398,722.13/550,328.90 = 262,780.24/x
  3. Step 3: Cross multiply
    398,722.13x = 550,328.90 × 262,780.24
  4. Step 4: Simplify right side
    398,722.13x = 144,615,557,731.21
  5. Step 5: Solve for x
    x = 144,615,557,731.21/398,722.13
  6. Step 6: Final answer
    x = 362,697.59

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1.5x scale

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.