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Finding the Fourth Proportional to 353,077.70, 529,422.15 and 142,477.70

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Solution

The fourth proportional to 353,077.70, 529,422.15 and 142,477.70 is: 213,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,077.70 : 529,422.15 = 142,477.70 : x
  2. Step 2: Convert to fraction form
    353,077.70/529,422.15 = 142,477.70/x
  3. Step 3: Cross multiply
    353,077.70x = 529,422.15 × 142,477.70
  4. Step 4: Simplify right side
    353,077.70x = 75,430,850,261.06
  5. Step 5: Solve for x
    x = 75,430,850,261.06/353,077.70
  6. Step 6: Final answer
    x = 213,638.10

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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.