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Finding the Fourth Proportional to 708,535.50, 978,128.06 and 490,909.19

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Solution

The fourth proportional to 708,535.50, 978,128.06 and 490,909.19 is: 677,696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,535.50 : 978,128.06 = 490,909.19 : x
  2. Step 2: Convert to fraction form
    708,535.50/978,128.06 = 490,909.19/x
  3. Step 3: Cross multiply
    708,535.50x = 978,128.06 × 490,909.19
  4. Step 4: Simplify right side
    708,535.50x = 480,172,046,305.69
  5. Step 5: Solve for x
    x = 480,172,046,305.69/708,535.50
  6. Step 6: Final answer
    x = 677,696.53

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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.