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Finding the Fourth Proportional to 695,869.48, 960,210.12 and 409,285

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Solution

The fourth proportional to 695,869.48, 960,210.12 and 409,285 is: 564,760.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,869.48 : 960,210.12 = 409,285 : x
  2. Step 2: Convert to fraction form
    695,869.48/960,210.12 = 409,285/x
  3. Step 3: Cross multiply
    695,869.48x = 960,210.12 × 409,285
  4. Step 4: Simplify right side
    695,869.48x = 392,999,598,964.20
  5. Step 5: Solve for x
    x = 392,999,598,964.20/695,869.48
  6. Step 6: Final answer
    x = 564,760.51

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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.