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Finding the Fourth Proportional to 379,307.06, 569,043.75 and 142,649.76

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Solution

The fourth proportional to 379,307.06, 569,043.75 and 142,649.76 is: 214,005.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,307.06 : 569,043.75 = 142,649.76 : x
  2. Step 2: Convert to fraction form
    379,307.06/569,043.75 = 142,649.76/x
  3. Step 3: Cross multiply
    379,307.06x = 569,043.75 × 142,649.76
  4. Step 4: Simplify right side
    379,307.06x = 81,173,954,367
  5. Step 5: Solve for x
    x = 81,173,954,367/379,307.06
  6. Step 6: Final answer
    x = 214,005.92

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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.