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Finding the Fourth Proportional to 410,399.34, 566,360.68 and 257,444

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Solution

The fourth proportional to 410,399.34, 566,360.68 and 257,444 is: 355,278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,399.34 : 566,360.68 = 257,444 : x
  2. Step 2: Convert to fraction form
    410,399.34/566,360.68 = 257,444/x
  3. Step 3: Cross multiply
    410,399.34x = 566,360.68 × 257,444
  4. Step 4: Simplify right side
    410,399.34x = 145,806,158,901.92
  5. Step 5: Solve for x
    x = 145,806,158,901.92/410,399.34
  6. Step 6: Final answer
    x = 355,278.74

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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.