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Finding the Fourth Proportional to 478,221.20, 659,703.12 and 297,040.40

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Solution

The fourth proportional to 478,221.20, 659,703.12 and 297,040.40 is: 409,765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,221.20 : 659,703.12 = 297,040.40 : x
  2. Step 2: Convert to fraction form
    478,221.20/659,703.12 = 297,040.40/x
  3. Step 3: Cross multiply
    478,221.20x = 659,703.12 × 297,040.40
  4. Step 4: Simplify right side
    478,221.20x = 195,958,478,646.05
  5. Step 5: Solve for x
    x = 195,958,478,646.05/478,221.20
  6. Step 6: Final answer
    x = 409,765.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.