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Finding the Fourth Proportional to 256,281.40, 384,306.90 and 98,457.40

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Solution

The fourth proportional to 256,281.40, 384,306.90 and 98,457.40 is: 147,641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,281.40 : 384,306.90 = 98,457.40 : x
  2. Step 2: Convert to fraction form
    256,281.40/384,306.90 = 98,457.40/x
  3. Step 3: Cross multiply
    256,281.40x = 384,306.90 × 98,457.40
  4. Step 4: Simplify right side
    256,281.40x = 37,837,858,176.06
  5. Step 5: Solve for x
    x = 37,837,858,176.06/256,281.40
  6. Step 6: Final answer
    x = 147,641.84

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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.