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Finding the Fourth Proportional to 347,762.40, 521,643.60 and 161,138.40

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Solution

The fourth proportional to 347,762.40, 521,643.60 and 161,138.40 is: 241,707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,762.40 : 521,643.60 = 161,138.40 : x
  2. Step 2: Convert to fraction form
    347,762.40/521,643.60 = 161,138.40/x
  3. Step 3: Cross multiply
    347,762.40x = 521,643.60 × 161,138.40
  4. Step 4: Simplify right side
    347,762.40x = 84,056,815,074.24
  5. Step 5: Solve for x
    x = 84,056,815,074.24/347,762.40
  6. Step 6: Final answer
    x = 241,707.60

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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.