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Finding the Fourth Proportional to 343,049.50, 473,408.31 and 208,913.50

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Solution

The fourth proportional to 343,049.50, 473,408.31 and 208,913.50 is: 288,300.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,049.50 : 473,408.31 = 208,913.50 : x
  2. Step 2: Convert to fraction form
    343,049.50/473,408.31 = 208,913.50/x
  3. Step 3: Cross multiply
    343,049.50x = 473,408.31 × 208,913.50
  4. Step 4: Simplify right side
    343,049.50x = 98,901,386,971.19
  5. Step 5: Solve for x
    x = 98,901,386,971.19/343,049.50
  6. Step 6: Final answer
    x = 288,300.63

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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.