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Finding the Fourth Proportional to 379,703.84, 524,002.23 and 209,948.90

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Solution

The fourth proportional to 379,703.84, 524,002.23 and 209,948.90 is: 289,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,703.84 : 524,002.23 = 209,948.90 : x
  2. Step 2: Convert to fraction form
    379,703.84/524,002.23 = 209,948.90/x
  3. Step 3: Cross multiply
    379,703.84x = 524,002.23 × 209,948.90
  4. Step 4: Simplify right side
    379,703.84x = 110,013,689,166.04
  5. Step 5: Solve for x
    x = 110,013,689,166.04/379,703.84
  6. Step 6: Final answer
    x = 289,735.52

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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.