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Finding the Fourth Proportional to 708,914.62, 978,263.28 and 402,948.46

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Solution

The fourth proportional to 708,914.62, 978,263.28 and 402,948.46 is: 556,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,914.62 : 978,263.28 = 402,948.46 : x
  2. Step 2: Convert to fraction form
    708,914.62/978,263.28 = 402,948.46/x
  3. Step 3: Cross multiply
    708,914.62x = 978,263.28 × 402,948.46
  4. Step 4: Simplify right side
    708,914.62x = 394,189,679,704.89
  5. Step 5: Solve for x
    x = 394,189,679,704.89/708,914.62
  6. Step 6: Final answer
    x = 556,046.76

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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.