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Finding the Fourth Proportional to 717,032.64, 989,562.88 and 411,137.48

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Solution

The fourth proportional to 717,032.64, 989,562.88 and 411,137.48 is: 567,402.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,032.64 : 989,562.88 = 411,137.48 : x
  2. Step 2: Convert to fraction form
    717,032.64/989,562.88 = 411,137.48/x
  3. Step 3: Cross multiply
    717,032.64x = 989,562.88 × 411,137.48
  4. Step 4: Simplify right side
    717,032.64x = 406,846,383,893.63
  5. Step 5: Solve for x
    x = 406,846,383,893.63/717,032.64
  6. Step 6: Final answer
    x = 567,402.88

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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.