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Finding the Fourth Proportional to 503,831.92, 695,363.64 and 382,774

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Solution

The fourth proportional to 503,831.92, 695,363.64 and 382,774 is: 528,285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,831.92 : 695,363.64 = 382,774 : x
  2. Step 2: Convert to fraction form
    503,831.92/695,363.64 = 382,774/x
  3. Step 3: Cross multiply
    503,831.92x = 695,363.64 × 382,774
  4. Step 4: Simplify right side
    503,831.92x = 266,167,121,937.36
  5. Step 5: Solve for x
    x = 266,167,121,937.36/503,831.92
  6. Step 6: Final answer
    x = 528,285.55

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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.