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Finding the Fourth Proportional to 213,385.86, 294,478.46 and 117,898.74

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Solution

The fourth proportional to 213,385.86, 294,478.46 and 117,898.74 is: 162,703.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,385.86 : 294,478.46 = 117,898.74 : x
  2. Step 2: Convert to fraction form
    213,385.86/294,478.46 = 117,898.74/x
  3. Step 3: Cross multiply
    213,385.86x = 294,478.46 × 117,898.74
  4. Step 4: Simplify right side
    213,385.86x = 34,718,639,391.14
  5. Step 5: Solve for x
    x = 34,718,639,391.14/213,385.86
  6. Step 6: Final answer
    x = 162,703.56

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1.5x scale

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.