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Finding the Fourth Proportional to 256,853.40, 385,280.10 and 90,641.40

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Solution

The fourth proportional to 256,853.40, 385,280.10 and 90,641.40 is: 135,962.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,853.40 : 385,280.10 = 90,641.40 : x
  2. Step 2: Convert to fraction form
    256,853.40/385,280.10 = 90,641.40/x
  3. Step 3: Cross multiply
    256,853.40x = 385,280.10 × 90,641.40
  4. Step 4: Simplify right side
    256,853.40x = 34,922,327,656.14
  5. Step 5: Solve for x
    x = 34,922,327,656.14/256,853.40
  6. Step 6: Final answer
    x = 135,962.10

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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.