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Finding the Fourth Proportional to 310,121.40, 464,886.78 and 99,611.76

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Solution

The fourth proportional to 310,121.40, 464,886.78 and 99,611.76 is: 149,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,121.40 : 464,886.78 = 99,611.76 : x
  2. Step 2: Convert to fraction form
    310,121.40/464,886.78 = 99,611.76/x
  3. Step 3: Cross multiply
    310,121.40x = 464,886.78 × 99,611.76
  4. Step 4: Simplify right side
    310,121.40x = 46,308,190,356.53
  5. Step 5: Solve for x
    x = 46,308,190,356.53/310,121.40
  6. Step 6: Final answer
    x = 149,322.78

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1.5x scale

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.