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Finding the Fourth Proportional to 564,299.90, 778,732.78 and 306,176.77

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Solution

The fourth proportional to 564,299.90, 778,732.78 and 306,176.77 is: 422,523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,299.90 : 778,732.78 = 306,176.77 : x
  2. Step 2: Convert to fraction form
    564,299.90/778,732.78 = 306,176.77/x
  3. Step 3: Cross multiply
    564,299.90x = 778,732.78 × 306,176.77
  4. Step 4: Simplify right side
    564,299.90x = 238,429,887,273.52
  5. Step 5: Solve for x
    x = 238,429,887,273.52/564,299.90
  6. Step 6: Final answer
    x = 422,523.36

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1.5x scale

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.