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Finding the Fourth Proportional to 902,992, 1,246,129.12 and 500,584

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Solution

The fourth proportional to 902,992, 1,246,129.12 and 500,584 is: 690,806.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,992 : 1,246,129.12 = 500,584 : x
  2. Step 2: Convert to fraction form
    902,992/1,246,129.12 = 500,584/x
  3. Step 3: Cross multiply
    902,992x = 1,246,129.12 × 500,584
  4. Step 4: Simplify right side
    902,992x = 623,792,299,406.08
  5. Step 5: Solve for x
    x = 623,792,299,406.08/902,992
  6. Step 6: Final answer
    x = 690,806.01

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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.