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Finding the Fourth Proportional to 478,686.06, 718,554.15 and 198,400.14

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Solution

The fourth proportional to 478,686.06, 718,554.15 and 198,400.14 is: 297,817.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,686.06 : 718,554.15 = 198,400.14 : x
  2. Step 2: Convert to fraction form
    478,686.06/718,554.15 = 198,400.14/x
  3. Step 3: Cross multiply
    478,686.06x = 718,554.15 × 198,400.14
  4. Step 4: Simplify right side
    478,686.06x = 142,561,243,957.58
  5. Step 5: Solve for x
    x = 142,561,243,957.58/478,686.06
  6. Step 6: Final answer
    x = 297,817.83

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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.