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Finding the Fourth Proportional to 707,801.64, 976,756.50 and 405,989.16

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Solution

The fourth proportional to 707,801.64, 976,756.50 and 405,989.16 is: 560,259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,801.64 : 976,756.50 = 405,989.16 : x
  2. Step 2: Convert to fraction form
    707,801.64/976,756.50 = 405,989.16/x
  3. Step 3: Cross multiply
    707,801.64x = 976,756.50 × 405,989.16
  4. Step 4: Simplify right side
    707,801.64x = 396,552,550,959.54
  5. Step 5: Solve for x
    x = 396,552,550,959.54/707,801.64
  6. Step 6: Final answer
    x = 560,259.44

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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.