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Finding the Fourth Proportional to 507,810, 700,800.66 and 290,037.60

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Solution

The fourth proportional to 507,810, 700,800.66 and 290,037.60 is: 400,264.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,810 : 700,800.66 = 290,037.60 : x
  2. Step 2: Convert to fraction form
    507,810/700,800.66 = 290,037.60/x
  3. Step 3: Cross multiply
    507,810x = 700,800.66 × 290,037.60
  4. Step 4: Simplify right side
    507,810x = 203,258,541,504.82
  5. Step 5: Solve for x
    x = 203,258,541,504.82/507,810
  6. Step 6: Final answer
    x = 400,264.94

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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.