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Finding the Fourth Proportional to 299,578.16, 413,420.28 and 165,442.16

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Solution

The fourth proportional to 299,578.16, 413,420.28 and 165,442.16 is: 228,311.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,578.16 : 413,420.28 = 165,442.16 : x
  2. Step 2: Convert to fraction form
    299,578.16/413,420.28 = 165,442.16/x
  3. Step 3: Cross multiply
    299,578.16x = 413,420.28 × 165,442.16
  4. Step 4: Simplify right side
    299,578.16x = 68,397,144,111.00
  5. Step 5: Solve for x
    x = 68,397,144,111.00/299,578.16
  6. Step 6: Final answer
    x = 228,311.52

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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.