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Finding the Fourth Proportional to 340,065.72, 469,294.29 and 187,105.93

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Solution

The fourth proportional to 340,065.72, 469,294.29 and 187,105.93 is: 258,208.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,065.72 : 469,294.29 = 187,105.93 : x
  2. Step 2: Convert to fraction form
    340,065.72/469,294.29 = 187,105.93/x
  3. Step 3: Cross multiply
    340,065.72x = 469,294.29 × 187,105.93
  4. Step 4: Simplify right side
    340,065.72x = 87,807,743,400.90
  5. Step 5: Solve for x
    x = 87,807,743,400.90/340,065.72
  6. Step 6: Final answer
    x = 258,208.16

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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.