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Finding the Fourth Proportional to 905,472, 1,249,590.24 and 503,064

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Solution

The fourth proportional to 905,472, 1,249,590.24 and 503,064 is: 694,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,472 : 1,249,590.24 = 503,064 : x
  2. Step 2: Convert to fraction form
    905,472/1,249,590.24 = 503,064/x
  3. Step 3: Cross multiply
    905,472x = 1,249,590.24 × 503,064
  4. Step 4: Simplify right side
    905,472x = 628,623,864,495.36
  5. Step 5: Solve for x
    x = 628,623,864,495.36/905,472
  6. Step 6: Final answer
    x = 694,249.92

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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.