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Finding the Fourth Proportional to 564,300.90, 778,734.16 and 306,177.77

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Solution

The fourth proportional to 564,300.90, 778,734.16 and 306,177.77 is: 422,524.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,300.90 : 778,734.16 = 306,177.77 : x
  2. Step 2: Convert to fraction form
    564,300.90/778,734.16 = 306,177.77/x
  3. Step 3: Cross multiply
    564,300.90x = 778,734.16 × 306,177.77
  4. Step 4: Simplify right side
    564,300.90x = 238,431,088,531.62
  5. Step 5: Solve for x
    x = 238,431,088,531.62/564,300.90
  6. Step 6: Final answer
    x = 422,524.74

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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.