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Finding the Fourth Proportional to 567,411.83, 783,004.75 and 309,283.09

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Solution

The fourth proportional to 567,411.83, 783,004.75 and 309,283.09 is: 426,797.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,411.83 : 783,004.75 = 309,283.09 : x
  2. Step 2: Convert to fraction form
    567,411.83/783,004.75 = 309,283.09/x
  3. Step 3: Cross multiply
    567,411.83x = 783,004.75 × 309,283.09
  4. Step 4: Simplify right side
    567,411.83x = 242,170,128,564.68
  5. Step 5: Solve for x
    x = 242,170,128,564.68/567,411.83
  6. Step 6: Final answer
    x = 426,797.81

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Double scale
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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.