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Finding the Fourth Proportional to 349,455.99, 482,052.22 and 209,718.86

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Solution

The fourth proportional to 349,455.99, 482,052.22 and 209,718.86 is: 289,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,455.99 : 482,052.22 = 209,718.86 : x
  2. Step 2: Convert to fraction form
    349,455.99/482,052.22 = 209,718.86/x
  3. Step 3: Cross multiply
    349,455.99x = 482,052.22 × 209,718.86
  4. Step 4: Simplify right side
    349,455.99x = 101,095,442,810.67
  5. Step 5: Solve for x
    x = 101,095,442,810.67/349,455.99
  6. Step 6: Final answer
    x = 289,293.78

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1.5x scale

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.