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Finding the Fourth Proportional to 275,564.60, 412,953.30 and 156,985.40

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Solution

The fourth proportional to 275,564.60, 412,953.30 and 156,985.40 is: 235,253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,564.60 : 412,953.30 = 156,985.40 : x
  2. Step 2: Convert to fraction form
    275,564.60/412,953.30 = 156,985.40/x
  3. Step 3: Cross multiply
    275,564.60x = 412,953.30 × 156,985.40
  4. Step 4: Simplify right side
    275,564.60x = 64,827,638,981.82
  5. Step 5: Solve for x
    x = 64,827,638,981.82/275,564.60
  6. Step 6: Final answer
    x = 235,253.87

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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.