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Finding the Fourth Proportional to 256,592.34, 354,108.24 and 143,415

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Solution

The fourth proportional to 256,592.34, 354,108.24 and 143,415 is: 197,918.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,592.34 : 354,108.24 = 143,415 : x
  2. Step 2: Convert to fraction form
    256,592.34/354,108.24 = 143,415/x
  3. Step 3: Cross multiply
    256,592.34x = 354,108.24 × 143,415
  4. Step 4: Simplify right side
    256,592.34x = 50,784,433,239.60
  5. Step 5: Solve for x
    x = 50,784,433,239.60/256,592.34
  6. Step 6: Final answer
    x = 197,918.74

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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.