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Finding the Fourth Proportional to 656,282, 905,669.80 and 354,476

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Solution

The fourth proportional to 656,282, 905,669.80 and 354,476 is: 489,177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,282 : 905,669.80 = 354,476 : x
  2. Step 2: Convert to fraction form
    656,282/905,669.80 = 354,476/x
  3. Step 3: Cross multiply
    656,282x = 905,669.80 × 354,476
  4. Step 4: Simplify right side
    656,282x = 321,038,208,024.80
  5. Step 5: Solve for x
    x = 321,038,208,024.80/656,282
  6. Step 6: Final answer
    x = 489,177.23

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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.