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Finding the Fourth Proportional to 457,856.76, 631,840.34 and 256,652.76

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Solution

The fourth proportional to 457,856.76, 631,840.34 and 256,652.76 is: 354,179.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,856.76 : 631,840.34 = 256,652.76 : x
  2. Step 2: Convert to fraction form
    457,856.76/631,840.34 = 256,652.76/x
  3. Step 3: Cross multiply
    457,856.76x = 631,840.34 × 256,652.76
  4. Step 4: Simplify right side
    457,856.76x = 162,163,567,140.34
  5. Step 5: Solve for x
    x = 162,163,567,140.34/457,856.76
  6. Step 6: Final answer
    x = 354,179.69

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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.