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Finding the Fourth Proportional to 564,411.71, 778,884.09 and 306,282.16

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Solution

The fourth proportional to 564,411.71, 778,884.09 and 306,282.16 is: 422,667.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,411.71 : 778,884.09 = 306,282.16 : x
  2. Step 2: Convert to fraction form
    564,411.71/778,884.09 = 306,282.16/x
  3. Step 3: Cross multiply
    564,411.71x = 778,884.09 × 306,282.16
  4. Step 4: Simplify right side
    564,411.71x = 238,558,297,580.41
  5. Step 5: Solve for x
    x = 238,558,297,580.41/564,411.71
  6. Step 6: Final answer
    x = 422,667.17

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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.