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Finding the Fourth Proportional to 628,557.92, 942,831.84 and 416,276

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Solution

The fourth proportional to 628,557.92, 942,831.84 and 416,276 is: 624,410.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,557.92 : 942,831.84 = 416,276 : x
  2. Step 2: Convert to fraction form
    628,557.92/942,831.84 = 416,276/x
  3. Step 3: Cross multiply
    628,557.92x = 942,831.84 × 416,276
  4. Step 4: Simplify right side
    628,557.92x = 392,478,267,027.84
  5. Step 5: Solve for x
    x = 392,478,267,027.84/628,557.92
  6. Step 6: Final answer
    x = 624,410.66

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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.