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Finding the Fourth Proportional to 343,083.76, 473,470.65 and 190,121.61

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Solution

The fourth proportional to 343,083.76, 473,470.65 and 190,121.61 is: 262,376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,083.76 : 473,470.65 = 190,121.61 : x
  2. Step 2: Convert to fraction form
    343,083.76/473,470.65 = 190,121.61/x
  3. Step 3: Cross multiply
    343,083.76x = 473,470.65 × 190,121.61
  4. Step 4: Simplify right side
    343,083.76x = 90,017,000,606.77
  5. Step 5: Solve for x
    x = 90,017,000,606.77/343,083.76
  6. Step 6: Final answer
    x = 262,376.16

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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.