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Finding the Fourth Proportional to 802,793.22, 1,107,681.21 and 463,064.64

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Solution

The fourth proportional to 802,793.22, 1,107,681.21 and 463,064.64 is: 638,929.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,793.22 : 1,107,681.21 = 463,064.64 : x
  2. Step 2: Convert to fraction form
    802,793.22/1,107,681.21 = 463,064.64/x
  3. Step 3: Cross multiply
    802,793.22x = 1,107,681.21 × 463,064.64
  4. Step 4: Simplify right side
    802,793.22x = 512,928,000,743.41
  5. Step 5: Solve for x
    x = 512,928,000,743.41/802,793.22
  6. Step 6: Final answer
    x = 638,929.16

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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.