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Finding the Fourth Proportional to 909,272, 1,254,795.44 and 506,864

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Solution

The fourth proportional to 909,272, 1,254,795.44 and 506,864 is: 699,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,272 : 1,254,795.44 = 506,864 : x
  2. Step 2: Convert to fraction form
    909,272/1,254,795.44 = 506,864/x
  3. Step 3: Cross multiply
    909,272x = 1,254,795.44 × 506,864
  4. Step 4: Simplify right side
    909,272x = 636,010,635,900.16
  5. Step 5: Solve for x
    x = 636,010,635,900.16/909,272
  6. Step 6: Final answer
    x = 699,472.36

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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.