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Finding the Fourth Proportional to 358,926.99, 495,319.29 and 208,111.47

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Solution

The fourth proportional to 358,926.99, 495,319.29 and 208,111.47 is: 287,193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,926.99 : 495,319.29 = 208,111.47 : x
  2. Step 2: Convert to fraction form
    358,926.99/495,319.29 = 208,111.47/x
  3. Step 3: Cross multiply
    358,926.99x = 495,319.29 × 208,111.47
  4. Step 4: Simplify right side
    358,926.99x = 103,081,625,561.26
  5. Step 5: Solve for x
    x = 103,081,625,561.26/358,926.99
  6. Step 6: Final answer
    x = 287,193.85

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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.