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Finding the Fourth Proportional to 786,007, 1,084,638.63 and 463,643.20

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Solution

The fourth proportional to 786,007, 1,084,638.63 and 463,643.20 is: 639,797.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,007 : 1,084,638.63 = 463,643.20 : x
  2. Step 2: Convert to fraction form
    786,007/1,084,638.63 = 463,643.20/x
  3. Step 3: Cross multiply
    786,007x = 1,084,638.63 × 463,643.20
  4. Step 4: Simplify right side
    786,007x = 502,885,325,256.82
  5. Step 5: Solve for x
    x = 502,885,325,256.82/786,007
  6. Step 6: Final answer
    x = 639,797.51

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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.