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Finding the Fourth Proportional to 299,640.08, 413,495.40 and 165,501.20

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Solution

The fourth proportional to 299,640.08, 413,495.40 and 165,501.20 is: 228,387.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,640.08 : 413,495.40 = 165,501.20 : x
  2. Step 2: Convert to fraction form
    299,640.08/413,495.40 = 165,501.20/x
  3. Step 3: Cross multiply
    299,640.08x = 413,495.40 × 165,501.20
  4. Step 4: Simplify right side
    299,640.08x = 68,433,984,894.48
  5. Step 5: Solve for x
    x = 68,433,984,894.48/299,640.08
  6. Step 6: Final answer
    x = 228,387.29

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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.