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Finding the Fourth Proportional to 253,812.78, 380,730.47 and 141,407.82

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Solution

The fourth proportional to 253,812.78, 380,730.47 and 141,407.82 is: 212,118.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,812.78 : 380,730.47 = 141,407.82 : x
  2. Step 2: Convert to fraction form
    253,812.78/380,730.47 = 141,407.82/x
  3. Step 3: Cross multiply
    253,812.78x = 380,730.47 × 141,407.82
  4. Step 4: Simplify right side
    253,812.78x = 53,838,265,063.24
  5. Step 5: Solve for x
    x = 53,838,265,063.24/253,812.78
  6. Step 6: Final answer
    x = 212,118.02

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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.