Home / 820,457.10-1,230,102.45-314,822.70

Finding the Fourth Proportional to 820,457.10, 1,230,102.45 and 314,822.70

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Solution

The fourth proportional to 820,457.10, 1,230,102.45 and 314,822.70 is: 472,010.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,457.10 : 1,230,102.45 = 314,822.70 : x
  2. Step 2: Convert to fraction form
    820,457.10/1,230,102.45 = 314,822.70/x
  3. Step 3: Cross multiply
    820,457.10x = 1,230,102.45 × 314,822.70
  4. Step 4: Simplify right side
    820,457.10x = 387,264,174,585.62
  5. Step 5: Solve for x
    x = 387,264,174,585.62/820,457.10
  6. Step 6: Final answer
    x = 472,010.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.