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Finding the Fourth Proportional to 708,830.12, 978,209.18 and 386,557.80

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Solution

The fourth proportional to 708,830.12, 978,209.18 and 386,557.80 is: 533,462.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,830.12 : 978,209.18 = 386,557.80 : x
  2. Step 2: Convert to fraction form
    708,830.12/978,209.18 = 386,557.80/x
  3. Step 3: Cross multiply
    708,830.12x = 978,209.18 × 386,557.80
  4. Step 4: Simplify right side
    708,830.12x = 378,134,388,560.60
  5. Step 5: Solve for x
    x = 378,134,388,560.60/708,830.12
  6. Step 6: Final answer
    x = 533,462.64

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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.