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Finding the Fourth Proportional to 708,834.51, 978,170.04 and 402,944.31

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Solution

The fourth proportional to 708,834.51, 978,170.04 and 402,944.31 is: 556,050.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,834.51 : 978,170.04 = 402,944.31 : x
  2. Step 2: Convert to fraction form
    708,834.51/978,170.04 = 402,944.31/x
  3. Step 3: Cross multiply
    708,834.51x = 978,170.04 × 402,944.31
  4. Step 4: Simplify right side
    708,834.51x = 394,148,051,830.47
  5. Step 5: Solve for x
    x = 394,148,051,830.47/708,834.51
  6. Step 6: Final answer
    x = 556,050.88

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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.