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Finding the Fourth Proportional to 380,307.69, 569,620.62 and 260,079.72

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Solution

The fourth proportional to 380,307.69, 569,620.62 and 260,079.72 is: 389,544.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,307.69 : 569,620.62 = 260,079.72 : x
  2. Step 2: Convert to fraction form
    380,307.69/569,620.62 = 260,079.72/x
  3. Step 3: Cross multiply
    380,307.69x = 569,620.62 × 260,079.72
  4. Step 4: Simplify right side
    380,307.69x = 148,146,771,355.83
  5. Step 5: Solve for x
    x = 148,146,771,355.83/380,307.69
  6. Step 6: Final answer
    x = 389,544.51

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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.