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Finding the Fourth Proportional to 342,967.80, 473,312.70 and 206,999.58

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Solution

The fourth proportional to 342,967.80, 473,312.70 and 206,999.58 is: 285,669.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,967.80 : 473,312.70 = 206,999.58 : x
  2. Step 2: Convert to fraction form
    342,967.80/473,312.70 = 206,999.58/x
  3. Step 3: Cross multiply
    342,967.80x = 473,312.70 × 206,999.58
  4. Step 4: Simplify right side
    342,967.80x = 97,975,530,108.67
  5. Step 5: Solve for x
    x = 97,975,530,108.67/342,967.80
  6. Step 6: Final answer
    x = 285,669.76

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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.