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Finding the Fourth Proportional to 656,364, 905,783.13 and 354,558

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Solution

The fourth proportional to 656,364, 905,783.13 and 354,558 is: 489,290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,364 : 905,783.13 = 354,558 : x
  2. Step 2: Convert to fraction form
    656,364/905,783.13 = 354,558/x
  3. Step 3: Cross multiply
    656,364x = 905,783.13 × 354,558
  4. Step 4: Simplify right side
    656,364x = 321,152,655,006.54
  5. Step 5: Solve for x
    x = 321,152,655,006.54/656,364
  6. Step 6: Final answer
    x = 489,290.48

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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.