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Finding the Fourth Proportional to 358,633.62, 537,778.80 and 208,916.64

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Solution

The fourth proportional to 358,633.62, 537,778.80 and 208,916.64 is: 313,274.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,633.62 : 537,778.80 = 208,916.64 : x
  2. Step 2: Convert to fraction form
    358,633.62/537,778.80 = 208,916.64/x
  3. Step 3: Cross multiply
    358,633.62x = 537,778.80 × 208,916.64
  4. Step 4: Simplify right side
    358,633.62x = 112,350,939,959.23
  5. Step 5: Solve for x
    x = 112,350,939,959.23/358,633.62
  6. Step 6: Final answer
    x = 313,274.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.