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Finding the Fourth Proportional to 656,364.50, 905,783.82 and 354,558.50

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Solution

The fourth proportional to 656,364.50, 905,783.82 and 354,558.50 is: 489,291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,364.50 : 905,783.82 = 354,558.50 : x
  2. Step 2: Convert to fraction form
    656,364.50/905,783.82 = 354,558.50/x
  3. Step 3: Cross multiply
    656,364.50x = 905,783.82 × 354,558.50
  4. Step 4: Simplify right side
    656,364.50x = 321,153,352,543.47
  5. Step 5: Solve for x
    x = 321,153,352,543.47/656,364.50
  6. Step 6: Final answer
    x = 489,291.17

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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.