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Finding the Fourth Proportional to 407,328.77, 611,023.13 and 107,807.32

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Solution

The fourth proportional to 407,328.77, 611,023.13 and 107,807.32 is: 161,718.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,328.77 : 611,023.13 = 107,807.32 : x
  2. Step 2: Convert to fraction form
    407,328.77/611,023.13 = 107,807.32/x
  3. Step 3: Cross multiply
    407,328.77x = 611,023.13 × 107,807.32
  4. Step 4: Simplify right side
    407,328.77x = 65,872,766,103.31
  5. Step 5: Solve for x
    x = 65,872,766,103.31/407,328.77
  6. Step 6: Final answer
    x = 161,718.91

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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.