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Finding the Fourth Proportional to 310,961.16, 465,840.45 and 260,441.46

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Solution

The fourth proportional to 310,961.16, 465,840.45 and 260,441.46 is: 390,158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,961.16 : 465,840.45 = 260,441.46 : x
  2. Step 2: Convert to fraction form
    310,961.16/465,840.45 = 260,441.46/x
  3. Step 3: Cross multiply
    310,961.16x = 465,840.45 × 260,441.46
  4. Step 4: Simplify right side
    310,961.16x = 121,324,166,925.06
  5. Step 5: Solve for x
    x = 121,324,166,925.06/310,961.16
  6. Step 6: Final answer
    x = 390,158.59

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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.