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Finding the Fourth Proportional to 379,541.42, 569,411.82 and 136,407.03

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Solution

The fourth proportional to 379,541.42, 569,411.82 and 136,407.03 is: 204,646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,541.42 : 569,411.82 = 136,407.03 : x
  2. Step 2: Convert to fraction form
    379,541.42/569,411.82 = 136,407.03/x
  3. Step 3: Cross multiply
    379,541.42x = 569,411.82 × 136,407.03
  4. Step 4: Simplify right side
    379,541.42x = 77,671,775,213.09
  5. Step 5: Solve for x
    x = 77,671,775,213.09/379,541.42
  6. Step 6: Final answer
    x = 204,646.37

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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.