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Finding the Fourth Proportional to 478,970.84, 718,456.25 and 194,815.98

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Solution

The fourth proportional to 478,970.84, 718,456.25 and 194,815.98 is: 292,223.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,970.84 : 718,456.25 = 194,815.98 : x
  2. Step 2: Convert to fraction form
    478,970.84/718,456.25 = 194,815.98/x
  3. Step 3: Cross multiply
    478,970.84x = 718,456.25 × 194,815.98
  4. Step 4: Simplify right side
    478,970.84x = 139,966,758,917.92
  5. Step 5: Solve for x
    x = 139,966,758,917.92/478,970.84
  6. Step 6: Final answer
    x = 292,223.97

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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.