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Finding the Fourth Proportional to 289,607.08, 434,304.06 and 100,019.20

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Solution

The fourth proportional to 289,607.08, 434,304.06 and 100,019.20 is: 149,992.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,607.08 : 434,304.06 = 100,019.20 : x
  2. Step 2: Convert to fraction form
    289,607.08/434,304.06 = 100,019.20/x
  3. Step 3: Cross multiply
    289,607.08x = 434,304.06 × 100,019.20
  4. Step 4: Simplify right side
    289,607.08x = 43,438,744,637.95
  5. Step 5: Solve for x
    x = 43,438,744,637.95/289,607.08
  6. Step 6: Final answer
    x = 149,992.00

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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.