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Finding the Fourth Proportional to 256,200.80, 384,368.40 and 98,434.40

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Solution

The fourth proportional to 256,200.80, 384,368.40 and 98,434.40 is: 147,677.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,200.80 : 384,368.40 = 98,434.40 : x
  2. Step 2: Convert to fraction form
    256,200.80/384,368.40 = 98,434.40/x
  3. Step 3: Cross multiply
    256,200.80x = 384,368.40 × 98,434.40
  4. Step 4: Simplify right side
    256,200.80x = 37,835,072,832.96
  5. Step 5: Solve for x
    x = 37,835,072,832.96/256,200.80
  6. Step 6: Final answer
    x = 147,677.42

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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.