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Finding the Fourth Proportional to 278,575, 418,028.54 and 101,095.88

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Solution

The fourth proportional to 278,575, 418,028.54 and 101,095.88 is: 151,704.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,575 : 418,028.54 = 101,095.88 : x
  2. Step 2: Convert to fraction form
    278,575/418,028.54 = 101,095.88/x
  3. Step 3: Cross multiply
    278,575x = 418,028.54 × 101,095.88
  4. Step 4: Simplify right side
    278,575x = 42,260,963,116.42
  5. Step 5: Solve for x
    x = 42,260,963,116.42/278,575
  6. Step 6: Final answer
    x = 151,704.08

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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.