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Finding the Fourth Proportional to 312,447, 468,407.64 and 253,135.56

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Solution

The fourth proportional to 312,447, 468,407.64 and 253,135.56 is: 379,490.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,447 : 468,407.64 = 253,135.56 : x
  2. Step 2: Convert to fraction form
    312,447/468,407.64 = 253,135.56/x
  3. Step 3: Cross multiply
    312,447x = 468,407.64 × 253,135.56
  4. Step 4: Simplify right side
    312,447x = 118,570,630,259.68
  5. Step 5: Solve for x
    x = 118,570,630,259.68/312,447
  6. Step 6: Final answer
    x = 379,490.38

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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.