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Finding the Fourth Proportional to 256,862.25, 385,294.59 and 90,650.25

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Solution

The fourth proportional to 256,862.25, 385,294.59 and 90,650.25 is: 135,975.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,862.25 : 385,294.59 = 90,650.25 : x
  2. Step 2: Convert to fraction form
    256,862.25/385,294.59 = 90,650.25/x
  3. Step 3: Cross multiply
    256,862.25x = 385,294.59 × 90,650.25
  4. Step 4: Simplify right side
    256,862.25x = 34,927,050,907.15
  5. Step 5: Solve for x
    x = 34,927,050,907.15/256,862.25
  6. Step 6: Final answer
    x = 135,975.80

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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.