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Finding the Fourth Proportional to 256,798.01, 354,494.75 and 153,468.65

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Solution

The fourth proportional to 256,798.01, 354,494.75 and 153,468.65 is: 211,854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,798.01 : 354,494.75 = 153,468.65 : x
  2. Step 2: Convert to fraction form
    256,798.01/354,494.75 = 153,468.65/x
  3. Step 3: Cross multiply
    256,798.01x = 354,494.75 × 153,468.65
  4. Step 4: Simplify right side
    256,798.01x = 54,403,831,984.50
  5. Step 5: Solve for x
    x = 54,403,831,984.50/256,798.01
  6. Step 6: Final answer
    x = 211,854.57

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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.