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Finding the Fourth Proportional to 304,612.62, 420,310.44 and 175,527.78

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Solution

The fourth proportional to 304,612.62, 420,310.44 and 175,527.78 is: 242,196.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,612.62 : 420,310.44 = 175,527.78 : x
  2. Step 2: Convert to fraction form
    304,612.62/420,310.44 = 175,527.78/x
  3. Step 3: Cross multiply
    304,612.62x = 420,310.44 × 175,527.78
  4. Step 4: Simplify right side
    304,612.62x = 73,776,158,444.02
  5. Step 5: Solve for x
    x = 73,776,158,444.02/304,612.62
  6. Step 6: Final answer
    x = 242,196.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.