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Finding the Fourth Proportional to 422,987.28, 583,718.43 and 232,001.43

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Solution

The fourth proportional to 422,987.28, 583,718.43 and 232,001.43 is: 320,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,987.28 : 583,718.43 = 232,001.43 : x
  2. Step 2: Convert to fraction form
    422,987.28/583,718.43 = 232,001.43/x
  3. Step 3: Cross multiply
    422,987.28x = 583,718.43 × 232,001.43
  4. Step 4: Simplify right side
    422,987.28x = 135,423,510,477.36
  5. Step 5: Solve for x
    x = 135,423,510,477.36/422,987.28
  6. Step 6: Final answer
    x = 320,159.77

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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.