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Finding the Fourth Proportional to 635,406.64, 952,830 and 298,543.12

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Solution

The fourth proportional to 635,406.64, 952,830 and 298,543.12 is: 447,683.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,406.64 : 952,830 = 298,543.12 : x
  2. Step 2: Convert to fraction form
    635,406.64/952,830 = 298,543.12/x
  3. Step 3: Cross multiply
    635,406.64x = 952,830 × 298,543.12
  4. Step 4: Simplify right side
    635,406.64x = 284,460,841,029.60
  5. Step 5: Solve for x
    x = 284,460,841,029.60/635,406.64
  6. Step 6: Final answer
    x = 447,683.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.