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Finding the Fourth Proportional to 256,774.02, 385,326.27 and 138,526.98

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Solution

The fourth proportional to 256,774.02, 385,326.27 and 138,526.98 is: 207,879.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,774.02 : 385,326.27 = 138,526.98 : x
  2. Step 2: Convert to fraction form
    256,774.02/385,326.27 = 138,526.98/x
  3. Step 3: Cross multiply
    256,774.02x = 385,326.27 × 138,526.98
  4. Step 4: Simplify right side
    256,774.02x = 53,378,084,497.76
  5. Step 5: Solve for x
    x = 53,378,084,497.76/256,774.02
  6. Step 6: Final answer
    x = 207,879.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.