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Finding the Fourth Proportional to 564,299.65, 778,732.43 and 306,176.52

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Solution

The fourth proportional to 564,299.65, 778,732.43 and 306,176.52 is: 422,523.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,299.65 : 778,732.43 = 306,176.52 : x
  2. Step 2: Convert to fraction form
    564,299.65/778,732.43 = 306,176.52/x
  3. Step 3: Cross multiply
    564,299.65x = 778,732.43 × 306,176.52
  4. Step 4: Simplify right side
    564,299.65x = 238,429,586,193.99
  5. Step 5: Solve for x
    x = 238,429,586,193.99/564,299.65
  6. Step 6: Final answer
    x = 422,523.01

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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.