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Finding the Fourth Proportional to 695,873.40, 960,289.02 and 409,411.92

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Solution

The fourth proportional to 695,873.40, 960,289.02 and 409,411.92 is: 564,978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,873.40 : 960,289.02 = 409,411.92 : x
  2. Step 2: Convert to fraction form
    695,873.40/960,289.02 = 409,411.92/x
  3. Step 3: Cross multiply
    695,873.40x = 960,289.02 × 409,411.92
  4. Step 4: Simplify right side
    695,873.40x = 393,153,771,433.12
  5. Step 5: Solve for x
    x = 393,153,771,433.12/695,873.40
  6. Step 6: Final answer
    x = 564,978.88

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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.