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Finding the Fourth Proportional to 343,306, 473,790.18 and 190,359.40

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Solution

The fourth proportional to 343,306, 473,790.18 and 190,359.40 is: 262,711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,306 : 473,790.18 = 190,359.40 : x
  2. Step 2: Convert to fraction form
    343,306/473,790.18 = 190,359.40/x
  3. Step 3: Cross multiply
    343,306x = 473,790.18 × 190,359.40
  4. Step 4: Simplify right side
    343,306x = 90,190,414,390.69
  5. Step 5: Solve for x
    x = 90,190,414,390.69/343,306
  6. Step 6: Final answer
    x = 262,711.44

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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.