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Finding the Fourth Proportional to 353,879.98, 488,402.53 and 208,726.81

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Solution

The fourth proportional to 353,879.98, 488,402.53 and 208,726.81 is: 288,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,879.98 : 488,402.53 = 208,726.81 : x
  2. Step 2: Convert to fraction form
    353,879.98/488,402.53 = 208,726.81/x
  3. Step 3: Cross multiply
    353,879.98x = 488,402.53 × 208,726.81
  4. Step 4: Simplify right side
    353,879.98x = 101,942,702,082.83
  5. Step 5: Solve for x
    x = 101,942,702,082.83/353,879.98
  6. Step 6: Final answer
    x = 288,071.40

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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.