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Finding the Fourth Proportional to 478,012.32, 717,018.72 and 197,220.96

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Solution

The fourth proportional to 478,012.32, 717,018.72 and 197,220.96 is: 295,831.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,012.32 : 717,018.72 = 197,220.96 : x
  2. Step 2: Convert to fraction form
    478,012.32/717,018.72 = 197,220.96/x
  3. Step 3: Cross multiply
    478,012.32x = 717,018.72 × 197,220.96
  4. Step 4: Simplify right side
    478,012.32x = 141,411,120,296.37
  5. Step 5: Solve for x
    x = 141,411,120,296.37/478,012.32
  6. Step 6: Final answer
    x = 295,831.54

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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.