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Finding the Fourth Proportional to 708,530.50, 978,121.16 and 490,904.18

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Solution

The fourth proportional to 708,530.50, 978,121.16 and 490,904.18 is: 677,689.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,530.50 : 978,121.16 = 490,904.18 : x
  2. Step 2: Convert to fraction form
    708,530.50/978,121.16 = 490,904.18/x
  3. Step 3: Cross multiply
    708,530.50x = 978,121.16 × 490,904.18
  4. Step 4: Simplify right side
    708,530.50x = 480,163,765,990.45
  5. Step 5: Solve for x
    x = 480,163,765,990.45/708,530.50
  6. Step 6: Final answer
    x = 677,689.62

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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.