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Finding the Fourth Proportional to 505,915.80, 698,235.02 and 322,095.66

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Solution

The fourth proportional to 505,915.80, 698,235.02 and 322,095.66 is: 444,537.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,915.80 : 698,235.02 = 322,095.66 : x
  2. Step 2: Convert to fraction form
    505,915.80/698,235.02 = 322,095.66/x
  3. Step 3: Cross multiply
    505,915.80x = 698,235.02 × 322,095.66
  4. Step 4: Simplify right side
    505,915.80x = 224,898,473,831.21
  5. Step 5: Solve for x
    x = 224,898,473,831.21/505,915.80
  6. Step 6: Final answer
    x = 444,537.36

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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.