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Finding the Fourth Proportional to 708,762.30, 978,056.01 and 386,469.78

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Solution

The fourth proportional to 708,762.30, 978,056.01 and 386,469.78 is: 533,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,762.30 : 978,056.01 = 386,469.78 : x
  2. Step 2: Convert to fraction form
    708,762.30/978,056.01 = 386,469.78/x
  3. Step 3: Cross multiply
    708,762.30x = 978,056.01 × 386,469.78
  4. Step 4: Simplify right side
    708,762.30x = 377,989,091,012.38
  5. Step 5: Solve for x
    x = 377,989,091,012.38/708,762.30
  6. Step 6: Final answer
    x = 533,308.69

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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.