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Finding the Fourth Proportional to 299,358, 413,114.58 and 165,222

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Solution

The fourth proportional to 299,358, 413,114.58 and 165,222 is: 228,006.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,358 : 413,114.58 = 165,222 : x
  2. Step 2: Convert to fraction form
    299,358/413,114.58 = 165,222/x
  3. Step 3: Cross multiply
    299,358x = 413,114.58 × 165,222
  4. Step 4: Simplify right side
    299,358x = 68,255,617,136.76
  5. Step 5: Solve for x
    x = 68,255,617,136.76/299,358
  6. Step 6: Final answer
    x = 228,006.66

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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.