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Finding the Fourth Proportional to 522,307.20, 783,530.55 and 206,690.34

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Solution

The fourth proportional to 522,307.20, 783,530.55 and 206,690.34 is: 310,063.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,307.20 : 783,530.55 = 206,690.34 : x
  2. Step 2: Convert to fraction form
    522,307.20/783,530.55 = 206,690.34/x
  3. Step 3: Cross multiply
    522,307.20x = 783,530.55 × 206,690.34
  4. Step 4: Simplify right side
    522,307.20x = 161,948,195,779.89
  5. Step 5: Solve for x
    x = 161,948,195,779.89/522,307.20
  6. Step 6: Final answer
    x = 310,063.11

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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.