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Finding the Fourth Proportional to 478,070, 717,137.82 and 158,221.28

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Solution

The fourth proportional to 478,070, 717,137.82 and 158,221.28 is: 237,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,070 : 717,137.82 = 158,221.28 : x
  2. Step 2: Convert to fraction form
    478,070/717,137.82 = 158,221.28/x
  3. Step 3: Cross multiply
    478,070x = 717,137.82 × 158,221.28
  4. Step 4: Simplify right side
    478,070x = 113,466,463,816.81
  5. Step 5: Solve for x
    x = 113,466,463,816.81/478,070
  6. Step 6: Final answer
    x = 237,342.78

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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.