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Finding the Fourth Proportional to 316,295.23, 474,389.88 and 138,754.57

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Solution

The fourth proportional to 316,295.23, 474,389.88 and 138,754.57 is: 208,108.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,295.23 : 474,389.88 = 138,754.57 : x
  2. Step 2: Convert to fraction form
    316,295.23/474,389.88 = 138,754.57/x
  3. Step 3: Cross multiply
    316,295.23x = 474,389.88 × 138,754.57
  4. Step 4: Simplify right side
    316,295.23x = 65,823,763,811.75
  5. Step 5: Solve for x
    x = 65,823,763,811.75/316,295.23
  6. Step 6: Final answer
    x = 208,108.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.