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Finding the Fourth Proportional to 478,073, 717,142.32 and 158,224.28

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Solution

The fourth proportional to 478,073, 717,142.32 and 158,224.28 is: 237,347.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,073 : 717,142.32 = 158,224.28 : x
  2. Step 2: Convert to fraction form
    478,073/717,142.32 = 158,224.28/x
  3. Step 3: Cross multiply
    478,073x = 717,142.32 × 158,224.28
  4. Step 4: Simplify right side
    478,073x = 113,469,327,239.53
  5. Step 5: Solve for x
    x = 113,469,327,239.53/478,073
  6. Step 6: Final answer
    x = 237,347.28

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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.