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Finding the Fourth Proportional to 329,657,612.40, 494,557,277.40 and 99,649,947.60

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Solution

The fourth proportional to 329,657,612.40, 494,557,277.40 and 99,649,947.60 is: 149,496,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,657,612.40 : 494,557,277.40 = 99,649,947.60 : x
  2. Step 2: Convert to fraction form
    329,657,612.40/494,557,277.40 = 99,649,947.60/x
  3. Step 3: Cross multiply
    329,657,612.40x = 494,557,277.40 × 99,649,947.60
  4. Step 4: Simplify right side
    329,657,612.40x = 49,282,606,778,108,656
  5. Step 5: Solve for x
    x = 49,282,606,778,108,656/329,657,612.40
  6. Step 6: Final answer
    x = 149,496,340.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.