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Finding the Fourth Proportional to 564,482.65, 778,991.88 and 306,361.82

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Solution

The fourth proportional to 564,482.65, 778,991.88 and 306,361.82 is: 422,782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,482.65 : 778,991.88 = 306,361.82 : x
  2. Step 2: Convert to fraction form
    564,482.65/778,991.88 = 306,361.82/x
  3. Step 3: Cross multiply
    564,482.65x = 778,991.88 × 306,361.82
  4. Step 4: Simplify right side
    564,482.65x = 238,653,370,122.02
  5. Step 5: Solve for x
    x = 238,653,370,122.02/564,482.65
  6. Step 6: Final answer
    x = 422,782.47

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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.