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Finding the Fourth Proportional to 564,105.50, 778,461.72 and 305,981.40

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Solution

The fourth proportional to 564,105.50, 778,461.72 and 305,981.40 is: 422,252.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,105.50 : 778,461.72 = 305,981.40 : x
  2. Step 2: Convert to fraction form
    564,105.50/778,461.72 = 305,981.40/x
  3. Step 3: Cross multiply
    564,105.50x = 778,461.72 × 305,981.40
  4. Step 4: Simplify right side
    564,105.50x = 238,194,806,932.01
  5. Step 5: Solve for x
    x = 238,194,806,932.01/564,105.50
  6. Step 6: Final answer
    x = 422,252.23

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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.