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Finding the Fourth Proportional to 1,435,904.47, 1,981,641.47 and 824,255.25

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Solution

The fourth proportional to 1,435,904.47, 1,981,641.47 and 824,255.25 is: 1,137,525.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,904.47 : 1,981,641.47 = 824,255.25 : x
  2. Step 2: Convert to fraction form
    1,435,904.47/1,981,641.47 = 824,255.25/x
  3. Step 3: Cross multiply
    1,435,904.47x = 1,981,641.47 × 824,255.25
  4. Step 4: Simplify right side
    1,435,904.47x = 1,633,378,385,265.22
  5. Step 5: Solve for x
    x = 1,633,378,385,265.22/1,435,904.47
  6. Step 6: Final answer
    x = 1,137,525.80

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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.