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Finding the Fourth Proportional to 309,959.19, 464,938.79 and 122,970.69

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Solution

The fourth proportional to 309,959.19, 464,938.79 and 122,970.69 is: 184,456.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,959.19 : 464,938.79 = 122,970.69 : x
  2. Step 2: Convert to fraction form
    309,959.19/464,938.79 = 122,970.69/x
  3. Step 3: Cross multiply
    309,959.19x = 464,938.79 × 122,970.69
  4. Step 4: Simplify right side
    309,959.19x = 57,173,843,199.21
  5. Step 5: Solve for x
    x = 57,173,843,199.21/309,959.19
  6. Step 6: Final answer
    x = 184,456.04

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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.