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Finding the Fourth Proportional to 656,467.76, 905,925.54 and 354,661.76

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Solution

The fourth proportional to 656,467.76, 905,925.54 and 354,661.76 is: 489,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,467.76 : 905,925.54 = 354,661.76 : x
  2. Step 2: Convert to fraction form
    656,467.76/905,925.54 = 354,661.76/x
  3. Step 3: Cross multiply
    656,467.76x = 905,925.54 × 354,661.76
  4. Step 4: Simplify right side
    656,467.76x = 321,297,146,445.35
  5. Step 5: Solve for x
    x = 321,297,146,445.35/656,467.76
  6. Step 6: Final answer
    x = 489,433.25

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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.