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Finding the Fourth Proportional to 400,507.94, 600,820.24 and 120,047.06

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Solution

The fourth proportional to 400,507.94, 600,820.24 and 120,047.06 is: 180,088.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,507.94 : 600,820.24 = 120,047.06 : x
  2. Step 2: Convert to fraction form
    400,507.94/600,820.24 = 120,047.06/x
  3. Step 3: Cross multiply
    400,507.94x = 600,820.24 × 120,047.06
  4. Step 4: Simplify right side
    400,507.94x = 72,126,703,400.49
  5. Step 5: Solve for x
    x = 72,126,703,400.49/400,507.94
  6. Step 6: Final answer
    x = 180,088.07

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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.