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Finding the Fourth Proportional to 511,787.20, 706,037.92 and 296,802.64

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Solution

The fourth proportional to 511,787.20, 706,037.92 and 296,802.64 is: 409,455.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,787.20 : 706,037.92 = 296,802.64 : x
  2. Step 2: Convert to fraction form
    511,787.20/706,037.92 = 296,802.64/x
  3. Step 3: Cross multiply
    511,787.20x = 706,037.92 × 296,802.64
  4. Step 4: Simplify right side
    511,787.20x = 209,553,918,596.11
  5. Step 5: Solve for x
    x = 209,553,918,596.11/511,787.20
  6. Step 6: Final answer
    x = 409,455.18

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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.