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Finding the Fourth Proportional to 907,856, 1,252,880.16 and 505,448

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Solution

The fourth proportional to 907,856, 1,252,880.16 and 505,448 is: 697,539.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,856 : 1,252,880.16 = 505,448 : x
  2. Step 2: Convert to fraction form
    907,856/1,252,880.16 = 505,448/x
  3. Step 3: Cross multiply
    907,856x = 1,252,880.16 × 505,448
  4. Step 4: Simplify right side
    907,856x = 633,265,771,111.68
  5. Step 5: Solve for x
    x = 633,265,771,111.68/907,856
  6. Step 6: Final answer
    x = 697,539.89

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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.