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Finding the Fourth Proportional to 304,631.76, 420,396.28 and 175,499

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Solution

The fourth proportional to 304,631.76, 420,396.28 and 175,499 is: 242,191.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,631.76 : 420,396.28 = 175,499 : x
  2. Step 2: Convert to fraction form
    304,631.76/420,396.28 = 175,499/x
  3. Step 3: Cross multiply
    304,631.76x = 420,396.28 × 175,499
  4. Step 4: Simplify right side
    304,631.76x = 73,779,126,743.72
  5. Step 5: Solve for x
    x = 73,779,126,743.72/304,631.76
  6. Step 6: Final answer
    x = 242,191.18

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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.