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Finding the Fourth Proportional to 239,009.50, 329,848.86 and 138,407.50

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Solution

The fourth proportional to 239,009.50, 329,848.86 and 138,407.50 is: 191,011.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,009.50 : 329,848.86 = 138,407.50 : x
  2. Step 2: Convert to fraction form
    239,009.50/329,848.86 = 138,407.50/x
  3. Step 3: Cross multiply
    239,009.50x = 329,848.86 × 138,407.50
  4. Step 4: Simplify right side
    239,009.50x = 45,653,556,090.45
  5. Step 5: Solve for x
    x = 45,653,556,090.45/239,009.50
  6. Step 6: Final answer
    x = 191,011.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.