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Finding the Fourth Proportional to 330,040.65, 494,981.71 and 152,376.96

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Solution

The fourth proportional to 330,040.65, 494,981.71 and 152,376.96 is: 228,528.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,040.65 : 494,981.71 = 152,376.96 : x
  2. Step 2: Convert to fraction form
    330,040.65/494,981.71 = 152,376.96/x
  3. Step 3: Cross multiply
    330,040.65x = 494,981.71 × 152,376.96
  4. Step 4: Simplify right side
    330,040.65x = 75,423,807,463.52
  5. Step 5: Solve for x
    x = 75,423,807,463.52/330,040.65
  6. Step 6: Final answer
    x = 228,528.84

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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.