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Finding the Fourth Proportional to 654,307.60, 902,992.06 and 399,706.78

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Solution

The fourth proportional to 654,307.60, 902,992.06 and 399,706.78 is: 551,624.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,307.60 : 902,992.06 = 399,706.78 : x
  2. Step 2: Convert to fraction form
    654,307.60/902,992.06 = 399,706.78/x
  3. Step 3: Cross multiply
    654,307.60x = 902,992.06 × 399,706.78
  4. Step 4: Simplify right side
    654,307.60x = 360,932,048,668.17
  5. Step 5: Solve for x
    x = 360,932,048,668.17/654,307.60
  6. Step 6: Final answer
    x = 551,624.42

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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.