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Finding the Fourth Proportional to 343,055.50, 473,416.60 and 208,919.50

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Solution

The fourth proportional to 343,055.50, 473,416.60 and 208,919.50 is: 288,308.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,055.50 : 473,416.60 = 208,919.50 : x
  2. Step 2: Convert to fraction form
    343,055.50/473,416.60 = 208,919.50/x
  3. Step 3: Cross multiply
    343,055.50x = 473,416.60 × 208,919.50
  4. Step 4: Simplify right side
    343,055.50x = 98,905,959,363.70
  5. Step 5: Solve for x
    x = 98,905,959,363.70/343,055.50
  6. Step 6: Final answer
    x = 288,308.92

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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.