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Finding the Fourth Proportional to 786,008, 1,084,640.01 and 463,644.20

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Solution

The fourth proportional to 786,008, 1,084,640.01 and 463,644.20 is: 639,798.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,008 : 1,084,640.01 = 463,644.20 : x
  2. Step 2: Convert to fraction form
    786,008/1,084,640.01 = 463,644.20/x
  3. Step 3: Cross multiply
    786,008x = 1,084,640.01 × 463,644.20
  4. Step 4: Simplify right side
    786,008x = 502,887,049,724.44
  5. Step 5: Solve for x
    x = 502,887,049,724.44/786,008
  6. Step 6: Final answer
    x = 639,798.89

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1.5x scale

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.