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Finding the Fourth Proportional to 722,830.08, 997,478.56 and 416,919

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Solution

The fourth proportional to 722,830.08, 997,478.56 and 416,919 is: 575,332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,830.08 : 997,478.56 = 416,919 : x
  2. Step 2: Convert to fraction form
    722,830.08/997,478.56 = 416,919/x
  3. Step 3: Cross multiply
    722,830.08x = 997,478.56 × 416,919
  4. Step 4: Simplify right side
    722,830.08x = 415,867,763,756.64
  5. Step 5: Solve for x
    x = 415,867,763,756.64/722,830.08
  6. Step 6: Final answer
    x = 575,332.68

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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.