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Finding the Fourth Proportional to 908,210, 1,253,368.68 and 505,802

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Solution

The fourth proportional to 908,210, 1,253,368.68 and 505,802 is: 698,028.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,210 : 1,253,368.68 = 505,802 : x
  2. Step 2: Convert to fraction form
    908,210/1,253,368.68 = 505,802/x
  3. Step 3: Cross multiply
    908,210x = 1,253,368.68 × 505,802
  4. Step 4: Simplify right side
    908,210x = 633,956,385,081.36
  5. Step 5: Solve for x
    x = 633,956,385,081.36/908,210
  6. Step 6: Final answer
    x = 698,028.41

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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.