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Finding the Fourth Proportional to 656,639.64, 906,162.69 and 354,833.64

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Solution

The fourth proportional to 656,639.64, 906,162.69 and 354,833.64 is: 489,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,639.64 : 906,162.69 = 354,833.64 : x
  2. Step 2: Convert to fraction form
    656,639.64/906,162.69 = 354,833.64/x
  3. Step 3: Cross multiply
    656,639.64x = 906,162.69 × 354,833.64
  4. Step 4: Simplify right side
    656,639.64x = 321,537,005,724.89
  5. Step 5: Solve for x
    x = 321,537,005,724.89/656,639.64
  6. Step 6: Final answer
    x = 489,670.42

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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.