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Finding the Fourth Proportional to 656,349, 905,762.10 and 354,543

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Solution

The fourth proportional to 656,349, 905,762.10 and 354,543 is: 489,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,349 : 905,762.10 = 354,543 : x
  2. Step 2: Convert to fraction form
    656,349/905,762.10 = 354,543/x
  3. Step 3: Cross multiply
    656,349x = 905,762.10 × 354,543
  4. Step 4: Simplify right side
    656,349x = 321,131,612,220.30
  5. Step 5: Solve for x
    x = 321,131,612,220.30/656,349
  6. Step 6: Final answer
    x = 489,269.60

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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.