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Finding the Fourth Proportional to 208,894, 288,274.08 and 119,470

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Solution

The fourth proportional to 208,894, 288,274.08 and 119,470 is: 164,868.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,894 : 288,274.08 = 119,470 : x
  2. Step 2: Convert to fraction form
    208,894/288,274.08 = 119,470/x
  3. Step 3: Cross multiply
    208,894x = 288,274.08 × 119,470
  4. Step 4: Simplify right side
    208,894x = 34,440,104,337.60
  5. Step 5: Solve for x
    x = 34,440,104,337.60/208,894
  6. Step 6: Final answer
    x = 164,868.81

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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.