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Finding the Fourth Proportional to 602,478.48, 903,164.76 and 208,218

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Solution

The fourth proportional to 602,478.48, 903,164.76 and 208,218 is: 312,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,478.48 : 903,164.76 = 208,218 : x
  2. Step 2: Convert to fraction form
    602,478.48/903,164.76 = 208,218/x
  3. Step 3: Cross multiply
    602,478.48x = 903,164.76 × 208,218
  4. Step 4: Simplify right side
    602,478.48x = 188,055,159,997.68
  5. Step 5: Solve for x
    x = 188,055,159,997.68/602,478.48
  6. Step 6: Final answer
    x = 312,135.90

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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.