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Finding the Fourth Proportional to 256,588.49, 384,898.57 and 98,817.10

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Solution

The fourth proportional to 256,588.49, 384,898.57 and 98,817.10 is: 148,231.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,588.49 : 384,898.57 = 98,817.10 : x
  2. Step 2: Convert to fraction form
    256,588.49/384,898.57 = 98,817.10/x
  3. Step 3: Cross multiply
    256,588.49x = 384,898.57 × 98,817.10
  4. Step 4: Simplify right side
    256,588.49x = 38,034,559,272.26
  5. Step 5: Solve for x
    x = 38,034,559,272.26/256,588.49
  6. Step 6: Final answer
    x = 148,231.74

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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.