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Finding the Fourth Proportional to 564,473.88, 778,976.46 and 309,827.16

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Solution

The fourth proportional to 564,473.88, 778,976.46 and 309,827.16 is: 427,562.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,473.88 : 778,976.46 = 309,827.16 : x
  2. Step 2: Convert to fraction form
    564,473.88/778,976.46 = 309,827.16/x
  3. Step 3: Cross multiply
    564,473.88x = 778,976.46 × 309,827.16
  4. Step 4: Simplify right side
    564,473.88x = 241,348,064,308.65
  5. Step 5: Solve for x
    x = 241,348,064,308.65/564,473.88
  6. Step 6: Final answer
    x = 427,562.86

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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.