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Finding the Fourth Proportional to 695,374.96, 959,765.72 and 409,058.40

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Solution

The fourth proportional to 695,374.96, 959,765.72 and 409,058.40 is: 564,587.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,374.96 : 959,765.72 = 409,058.40 : x
  2. Step 2: Convert to fraction form
    695,374.96/959,765.72 = 409,058.40/x
  3. Step 3: Cross multiply
    695,374.96x = 959,765.72 × 409,058.40
  4. Step 4: Simplify right side
    695,374.96x = 392,600,229,798.05
  5. Step 5: Solve for x
    x = 392,600,229,798.05/695,374.96
  6. Step 6: Final answer
    x = 564,587.82

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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.