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Finding the Fourth Proportional to 908,196, 1,253,349.36 and 505,788

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Solution

The fourth proportional to 908,196, 1,253,349.36 and 505,788 is: 698,009.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,196 : 1,253,349.36 = 505,788 : x
  2. Step 2: Convert to fraction form
    908,196/1,253,349.36 = 505,788/x
  3. Step 3: Cross multiply
    908,196x = 1,253,349.36 × 505,788
  4. Step 4: Simplify right side
    908,196x = 633,929,066,095.68
  5. Step 5: Solve for x
    x = 633,929,066,095.68/908,196
  6. Step 6: Final answer
    x = 698,009.09

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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.