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Finding the Fourth Proportional to 785,654, 1,084,151.46 and 463,290.20

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Solution

The fourth proportional to 785,654, 1,084,151.46 and 463,290.20 is: 639,310.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,654 : 1,084,151.46 = 463,290.20 : x
  2. Step 2: Convert to fraction form
    785,654/1,084,151.46 = 463,290.20/x
  3. Step 3: Cross multiply
    785,654x = 1,084,151.46 × 463,290.20
  4. Step 4: Simplify right side
    785,654x = 502,276,746,733.69
  5. Step 5: Solve for x
    x = 502,276,746,733.69/785,654
  6. Step 6: Final answer
    x = 639,310.37

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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.