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Finding the Fourth Proportional to 708,947.56, 978,431.76 and 403,070.08

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Solution

The fourth proportional to 708,947.56, 978,431.76 and 403,070.08 is: 556,284.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,947.56 : 978,431.76 = 403,070.08 : x
  2. Step 2: Convert to fraction form
    708,947.56/978,431.76 = 403,070.08/x
  3. Step 3: Cross multiply
    708,947.56x = 978,431.76 × 403,070.08
  4. Step 4: Simplify right side
    708,947.56x = 394,376,567,777.74
  5. Step 5: Solve for x
    x = 394,376,567,777.74/708,947.56
  6. Step 6: Final answer
    x = 556,284.54

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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.