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Finding the Fourth Proportional to 379,509.17, 523,702.19 and 209,733.17

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Solution

The fourth proportional to 379,509.17, 523,702.19 and 209,733.17 is: 289,420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,509.17 : 523,702.19 = 209,733.17 : x
  2. Step 2: Convert to fraction form
    379,509.17/523,702.19 = 209,733.17/x
  3. Step 3: Cross multiply
    379,509.17x = 523,702.19 × 209,733.17
  4. Step 4: Simplify right side
    379,509.17x = 109,837,718,350.46
  5. Step 5: Solve for x
    x = 109,837,718,350.46/379,509.17
  6. Step 6: Final answer
    x = 289,420.46

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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.