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Finding the Fourth Proportional to 310,291.20, 465,436.32 and 99,960

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Solution

The fourth proportional to 310,291.20, 465,436.32 and 99,960 is: 149,939.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,291.20 : 465,436.32 = 99,960 : x
  2. Step 2: Convert to fraction form
    310,291.20/465,436.32 = 99,960/x
  3. Step 3: Cross multiply
    310,291.20x = 465,436.32 × 99,960
  4. Step 4: Simplify right side
    310,291.20x = 46,525,014,547.20
  5. Step 5: Solve for x
    x = 46,525,014,547.20/310,291.20
  6. Step 6: Final answer
    x = 149,939.85

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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.