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Finding the Fourth Proportional to 708,037.20, 978,334.20 and 565,969.68

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Solution

The fourth proportional to 708,037.20, 978,334.20 and 565,969.68 is: 782,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,037.20 : 978,334.20 = 565,969.68 : x
  2. Step 2: Convert to fraction form
    708,037.20/978,334.20 = 565,969.68/x
  3. Step 3: Cross multiply
    708,037.20x = 978,334.20 × 565,969.68
  4. Step 4: Simplify right side
    708,037.20x = 553,707,494,107.06
  5. Step 5: Solve for x
    x = 553,707,494,107.06/708,037.20
  6. Step 6: Final answer
    x = 782,031.64

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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.