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Finding the Fourth Proportional to 285,977.70, 428,966.55 and 219,752.10

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Solution

The fourth proportional to 285,977.70, 428,966.55 and 219,752.10 is: 329,628.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,977.70 : 428,966.55 = 219,752.10 : x
  2. Step 2: Convert to fraction form
    285,977.70/428,966.55 = 219,752.10/x
  3. Step 3: Cross multiply
    285,977.70x = 428,966.55 × 219,752.10
  4. Step 4: Simplify right side
    285,977.70x = 94,266,300,192.26
  5. Step 5: Solve for x
    x = 94,266,300,192.26/285,977.70
  6. Step 6: Final answer
    x = 329,628.15

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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.