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Finding the Fourth Proportional to 575,336, 863,004.60 and 310,778.66

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Solution

The fourth proportional to 575,336, 863,004.60 and 310,778.66 is: 466,168.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,336 : 863,004.60 = 310,778.66 : x
  2. Step 2: Convert to fraction form
    575,336/863,004.60 = 310,778.66/x
  3. Step 3: Cross multiply
    575,336x = 863,004.60 × 310,778.66
  4. Step 4: Simplify right side
    575,336x = 268,203,413,161.84
  5. Step 5: Solve for x
    x = 268,203,413,161.84/575,336
  6. Step 6: Final answer
    x = 466,168.31

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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.