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Finding the Fourth Proportional to 353,064.83, 487,270.28 and 209,823.62

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Solution

The fourth proportional to 353,064.83, 487,270.28 and 209,823.62 is: 289,580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,064.83 : 487,270.28 = 209,823.62 : x
  2. Step 2: Convert to fraction form
    353,064.83/487,270.28 = 209,823.62/x
  3. Step 3: Cross multiply
    353,064.83x = 487,270.28 × 209,823.62
  4. Step 4: Simplify right side
    353,064.83x = 102,240,812,156.22
  5. Step 5: Solve for x
    x = 102,240,812,156.22/353,064.83
  6. Step 6: Final answer
    x = 289,580.85

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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.