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Finding the Fourth Proportional to 762,302.40, 1,052,041.92 and 422,880

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Solution

The fourth proportional to 762,302.40, 1,052,041.92 and 422,880 is: 583,610.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,302.40 : 1,052,041.92 = 422,880 : x
  2. Step 2: Convert to fraction form
    762,302.40/1,052,041.92 = 422,880/x
  3. Step 3: Cross multiply
    762,302.40x = 1,052,041.92 × 422,880
  4. Step 4: Simplify right side
    762,302.40x = 444,887,487,129.60
  5. Step 5: Solve for x
    x = 444,887,487,129.60/762,302.40
  6. Step 6: Final answer
    x = 583,610.24

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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.