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Finding the Fourth Proportional to 209,184.58, 314,036.88 and 208,225.54

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Solution

The fourth proportional to 209,184.58, 314,036.88 and 208,225.54 is: 312,597.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,184.58 : 314,036.88 = 208,225.54 : x
  2. Step 2: Convert to fraction form
    209,184.58/314,036.88 = 208,225.54/x
  3. Step 3: Cross multiply
    209,184.58x = 314,036.88 × 208,225.54
  4. Step 4: Simplify right side
    209,184.58x = 65,390,498,917.92
  5. Step 5: Solve for x
    x = 65,390,498,917.92/209,184.58
  6. Step 6: Final answer
    x = 312,597.13

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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.