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Finding the Fourth Proportional to 288,674.91, 432,901.67 and 99,099.95

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Solution

The fourth proportional to 288,674.91, 432,901.67 and 99,099.95 is: 148,611.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,674.91 : 432,901.67 = 99,099.95 : x
  2. Step 2: Convert to fraction form
    288,674.91/432,901.67 = 99,099.95/x
  3. Step 3: Cross multiply
    288,674.91x = 432,901.67 × 99,099.95
  4. Step 4: Simplify right side
    288,674.91x = 42,900,531,191.91
  5. Step 5: Solve for x
    x = 42,900,531,191.91/288,674.91
  6. Step 6: Final answer
    x = 148,611.92

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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.