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Finding the Fourth Proportional to 656,338, 905,746.80 and 354,532

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Solution

The fourth proportional to 656,338, 905,746.80 and 354,532 is: 489,254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,338 : 905,746.80 = 354,532 : x
  2. Step 2: Convert to fraction form
    656,338/905,746.80 = 354,532/x
  3. Step 3: Cross multiply
    656,338x = 905,746.80 × 354,532
  4. Step 4: Simplify right side
    656,338x = 321,116,224,497.60
  5. Step 5: Solve for x
    x = 321,116,224,497.60/656,338
  6. Step 6: Final answer
    x = 489,254.35

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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.