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Finding the Fourth Proportional to 310,015.40, 465,152.70 and 99,717.80

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Solution

The fourth proportional to 310,015.40, 465,152.70 and 99,717.80 is: 149,618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,015.40 : 465,152.70 = 99,717.80 : x
  2. Step 2: Convert to fraction form
    310,015.40/465,152.70 = 99,717.80/x
  3. Step 3: Cross multiply
    310,015.40x = 465,152.70 × 99,717.80
  4. Step 4: Simplify right side
    310,015.40x = 46,384,003,908.06
  5. Step 5: Solve for x
    x = 46,384,003,908.06/310,015.40
  6. Step 6: Final answer
    x = 149,618.39

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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.