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Finding the Fourth Proportional to 379,726.16, 569,675.64 and 202,139.60

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Solution

The fourth proportional to 379,726.16, 569,675.64 and 202,139.60 is: 303,255.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,726.16 : 569,675.64 = 202,139.60 : x
  2. Step 2: Convert to fraction form
    379,726.16/569,675.64 = 202,139.60/x
  3. Step 3: Cross multiply
    379,726.16x = 569,675.64 × 202,139.60
  4. Step 4: Simplify right side
    379,726.16x = 115,154,005,999.34
  5. Step 5: Solve for x
    x = 115,154,005,999.34/379,726.16
  6. Step 6: Final answer
    x = 303,255.39

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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.