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Finding the Fourth Proportional to 279,014.58, 418,296.42 and 99,000.78

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Solution

The fourth proportional to 279,014.58, 418,296.42 and 99,000.78 is: 148,421.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,014.58 : 418,296.42 = 99,000.78 : x
  2. Step 2: Convert to fraction form
    279,014.58/418,296.42 = 99,000.78/x
  3. Step 3: Cross multiply
    279,014.58x = 418,296.42 × 99,000.78
  4. Step 4: Simplify right side
    279,014.58x = 41,411,671,851.21
  5. Step 5: Solve for x
    x = 41,411,671,851.21/279,014.58
  6. Step 6: Final answer
    x = 148,421.18

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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.