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Finding the Fourth Proportional to 409,702.01, 565,745.78 and 257,002.68

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Solution

The fourth proportional to 409,702.01, 565,745.78 and 257,002.68 is: 354,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,702.01 : 565,745.78 = 257,002.68 : x
  2. Step 2: Convert to fraction form
    409,702.01/565,745.78 = 257,002.68/x
  3. Step 3: Cross multiply
    409,702.01x = 565,745.78 × 257,002.68
  4. Step 4: Simplify right side
    409,702.01x = 145,398,180,373.68
  5. Step 5: Solve for x
    x = 145,398,180,373.68/409,702.01
  6. Step 6: Final answer
    x = 354,887.64

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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.