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Finding the Fourth Proportional to 707,840.95, 976,786 and 401,877.22

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Solution

The fourth proportional to 707,840.95, 976,786 and 401,877.22 is: 554,570.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,840.95 : 976,786 = 401,877.22 : x
  2. Step 2: Convert to fraction form
    707,840.95/976,786 = 401,877.22/x
  3. Step 3: Cross multiply
    707,840.95x = 976,786 × 401,877.22
  4. Step 4: Simplify right side
    707,840.95x = 392,548,042,214.92
  5. Step 5: Solve for x
    x = 392,548,042,214.92/707,840.95
  6. Step 6: Final answer
    x = 554,570.97

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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.