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Finding the Fourth Proportional to 478,388.12, 717,670.47 and 197,927.24

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Solution

The fourth proportional to 478,388.12, 717,670.47 and 197,927.24 is: 296,927.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,388.12 : 717,670.47 = 197,927.24 : x
  2. Step 2: Convert to fraction form
    478,388.12/717,670.47 = 197,927.24/x
  3. Step 3: Cross multiply
    478,388.12x = 717,670.47 × 197,927.24
  4. Step 4: Simplify right side
    478,388.12x = 142,046,535,356.60
  5. Step 5: Solve for x
    x = 142,046,535,356.60/478,388.12
  6. Step 6: Final answer
    x = 296,927.39

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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.