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Finding the Fourth Proportional to 285,162.83, 393,483.51 and 157,838.12

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Solution

The fourth proportional to 285,162.83, 393,483.51 and 157,838.12 is: 217,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,162.83 : 393,483.51 = 157,838.12 : x
  2. Step 2: Convert to fraction form
    285,162.83/393,483.51 = 157,838.12/x
  3. Step 3: Cross multiply
    285,162.83x = 393,483.51 × 157,838.12
  4. Step 4: Simplify right side
    285,162.83x = 62,106,695,501.98
  5. Step 5: Solve for x
    x = 62,106,695,501.98/285,162.83
  6. Step 6: Final answer
    x = 217,793.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.