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Finding the Fourth Proportional to 708,829.62, 978,208.49 and 386,557.30

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Solution

The fourth proportional to 708,829.62, 978,208.49 and 386,557.30 is: 533,461.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,829.62 : 978,208.49 = 386,557.30 : x
  2. Step 2: Convert to fraction form
    708,829.62/978,208.49 = 386,557.30/x
  3. Step 3: Cross multiply
    708,829.62x = 978,208.49 × 386,557.30
  4. Step 4: Simplify right side
    708,829.62x = 378,133,632,731.48
  5. Step 5: Solve for x
    x = 378,133,632,731.48/708,829.62
  6. Step 6: Final answer
    x = 533,461.95

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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.