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Finding the Fourth Proportional to 343,285.38, 473,760.09 and 216,070.02

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Solution

The fourth proportional to 343,285.38, 473,760.09 and 216,070.02 is: 298,193.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,285.38 : 473,760.09 = 216,070.02 : x
  2. Step 2: Convert to fraction form
    343,285.38/473,760.09 = 216,070.02/x
  3. Step 3: Cross multiply
    343,285.38x = 473,760.09 × 216,070.02
  4. Step 4: Simplify right side
    343,285.38x = 102,365,352,121.50
  5. Step 5: Solve for x
    x = 102,365,352,121.50/343,285.38
  6. Step 6: Final answer
    x = 298,193.16

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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.