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Finding the Fourth Proportional to 407,058.30, 610,478.10 and 140,900.40

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Solution

The fourth proportional to 407,058.30, 610,478.10 and 140,900.40 is: 211,312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,058.30 : 610,478.10 = 140,900.40 : x
  2. Step 2: Convert to fraction form
    407,058.30/610,478.10 = 140,900.40/x
  3. Step 3: Cross multiply
    407,058.30x = 610,478.10 × 140,900.40
  4. Step 4: Simplify right side
    407,058.30x = 86,016,608,481.24
  5. Step 5: Solve for x
    x = 86,016,608,481.24/407,058.30
  6. Step 6: Final answer
    x = 211,312.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.