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Finding the Fourth Proportional to 407,749.40, 611,624.10 and 256,190.30

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Solution

The fourth proportional to 407,749.40, 611,624.10 and 256,190.30 is: 384,285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,749.40 : 611,624.10 = 256,190.30 : x
  2. Step 2: Convert to fraction form
    407,749.40/611,624.10 = 256,190.30/x
  3. Step 3: Cross multiply
    407,749.40x = 611,624.10 × 256,190.30
  4. Step 4: Simplify right side
    407,749.40x = 156,692,161,666.23
  5. Step 5: Solve for x
    x = 156,692,161,666.23/407,749.40
  6. Step 6: Final answer
    x = 384,285.45

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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.