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Finding the Fourth Proportional to 656,599, 906,106.62 and 354,793

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Solution

The fourth proportional to 656,599, 906,106.62 and 354,793 is: 489,614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,599 : 906,106.62 = 354,793 : x
  2. Step 2: Convert to fraction form
    656,599/906,106.62 = 354,793/x
  3. Step 3: Cross multiply
    656,599x = 906,106.62 × 354,793
  4. Step 4: Simplify right side
    656,599x = 321,480,286,029.66
  5. Step 5: Solve for x
    x = 321,480,286,029.66/656,599
  6. Step 6: Final answer
    x = 489,614.34

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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.