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Finding the Fourth Proportional to 310,804.84, 466,155.66 and 86,188.36

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Solution

The fourth proportional to 310,804.84, 466,155.66 and 86,188.36 is: 129,268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,804.84 : 466,155.66 = 86,188.36 : x
  2. Step 2: Convert to fraction form
    310,804.84/466,155.66 = 86,188.36/x
  3. Step 3: Cross multiply
    310,804.84x = 466,155.66 × 86,188.36
  4. Step 4: Simplify right side
    310,804.84x = 40,177,191,840.12
  5. Step 5: Solve for x
    x = 40,177,191,840.12/310,804.84
  6. Step 6: Final answer
    x = 129,268.23

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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.