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Finding the Fourth Proportional to 347,053.60, 520,318.64 and 189,416.48

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Solution

The fourth proportional to 347,053.60, 520,318.64 and 189,416.48 is: 283,981.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,053.60 : 520,318.64 = 189,416.48 : x
  2. Step 2: Convert to fraction form
    347,053.60/520,318.64 = 189,416.48/x
  3. Step 3: Cross multiply
    347,053.60x = 520,318.64 × 189,416.48
  4. Step 4: Simplify right side
    347,053.60x = 98,556,925,267.19
  5. Step 5: Solve for x
    x = 98,556,925,267.19/347,053.60
  6. Step 6: Final answer
    x = 283,981.86

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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.