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Finding the Fourth Proportional to 422,547.71, 583,120.44 and 231,557

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Solution

The fourth proportional to 422,547.71, 583,120.44 and 231,557 is: 319,551.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,547.71 : 583,120.44 = 231,557 : x
  2. Step 2: Convert to fraction form
    422,547.71/583,120.44 = 231,557/x
  3. Step 3: Cross multiply
    422,547.71x = 583,120.44 × 231,557
  4. Step 4: Simplify right side
    422,547.71x = 135,025,618,567.30
  5. Step 5: Solve for x
    x = 135,025,618,567.30/422,547.71
  6. Step 6: Final answer
    x = 319,551.18

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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.