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Finding the Fourth Proportional to 407,053.64, 561,085.17 and 320,872.17

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Solution

The fourth proportional to 407,053.64, 561,085.17 and 320,872.17 is: 442,292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,053.64 : 561,085.17 = 320,872.17 : x
  2. Step 2: Convert to fraction form
    407,053.64/561,085.17 = 320,872.17/x
  3. Step 3: Cross multiply
    407,053.64x = 561,085.17 × 320,872.17
  4. Step 4: Simplify right side
    407,053.64x = 180,036,616,052.72
  5. Step 5: Solve for x
    x = 180,036,616,052.72/407,053.64
  6. Step 6: Final answer
    x = 442,292.12

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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.