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Finding the Fourth Proportional to 407,587.58, 611,477.42 and 400,809.70

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Solution

The fourth proportional to 407,587.58, 611,477.42 and 400,809.70 is: 601,309.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,587.58 : 611,477.42 = 400,809.70 : x
  2. Step 2: Convert to fraction form
    407,587.58/611,477.42 = 400,809.70/x
  3. Step 3: Cross multiply
    407,587.58x = 611,477.42 × 400,809.70
  4. Step 4: Simplify right side
    407,587.58x = 245,086,081,266.97
  5. Step 5: Solve for x
    x = 245,086,081,266.97/407,587.58
  6. Step 6: Final answer
    x = 601,309.00

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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.