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Finding the Fourth Proportional to 353,510.06, 487,758.81 and 208,321.77

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Solution

The fourth proportional to 353,510.06, 487,758.81 and 208,321.77 is: 287,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,510.06 : 487,758.81 = 208,321.77 : x
  2. Step 2: Convert to fraction form
    353,510.06/487,758.81 = 208,321.77/x
  3. Step 3: Cross multiply
    353,510.06x = 487,758.81 × 208,321.77
  4. Step 4: Simplify right side
    353,510.06x = 101,610,778,632.29
  5. Step 5: Solve for x
    x = 101,610,778,632.29/353,510.06
  6. Step 6: Final answer
    x = 287,433.91

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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.