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Finding the Fourth Proportional to 640,557.99, 883,970.28 and 354,078

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Solution

The fourth proportional to 640,557.99, 883,970.28 and 354,078 is: 488,627.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,557.99 : 883,970.28 = 354,078 : x
  2. Step 2: Convert to fraction form
    640,557.99/883,970.28 = 354,078/x
  3. Step 3: Cross multiply
    640,557.99x = 883,970.28 × 354,078
  4. Step 4: Simplify right side
    640,557.99x = 312,994,428,801.84
  5. Step 5: Solve for x
    x = 312,994,428,801.84/640,557.99
  6. Step 6: Final answer
    x = 488,627.78

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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.