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Finding the Fourth Proportional to 407,501.10, 611,251.65 and 257,910.30

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Solution

The fourth proportional to 407,501.10, 611,251.65 and 257,910.30 is: 386,865.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,501.10 : 611,251.65 = 257,910.30 : x
  2. Step 2: Convert to fraction form
    407,501.10/611,251.65 = 257,910.30/x
  3. Step 3: Cross multiply
    407,501.10x = 611,251.65 × 257,910.30
  4. Step 4: Simplify right side
    407,501.10x = 157,648,096,427.00
  5. Step 5: Solve for x
    x = 157,648,096,427.00/407,501.10
  6. Step 6: Final answer
    x = 386,865.45

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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.