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Finding the Fourth Proportional to 580,540, 801,147.12 and 322,417.60

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Solution

The fourth proportional to 580,540, 801,147.12 and 322,417.60 is: 444,937.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,540 : 801,147.12 = 322,417.60 : x
  2. Step 2: Convert to fraction form
    580,540/801,147.12 = 322,417.60/x
  3. Step 3: Cross multiply
    580,540x = 801,147.12 × 322,417.60
  4. Step 4: Simplify right side
    580,540x = 258,303,931,677.31
  5. Step 5: Solve for x
    x = 258,303,931,677.31/580,540
  6. Step 6: Final answer
    x = 444,937.35

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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.