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Finding the Fourth Proportional to 310,888, 429,025.44 and 176,752

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Solution

The fourth proportional to 310,888, 429,025.44 and 176,752 is: 243,917.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,888 : 429,025.44 = 176,752 : x
  2. Step 2: Convert to fraction form
    310,888/429,025.44 = 176,752/x
  3. Step 3: Cross multiply
    310,888x = 429,025.44 × 176,752
  4. Step 4: Simplify right side
    310,888x = 75,831,104,570.88
  5. Step 5: Solve for x
    x = 75,831,104,570.88/310,888
  6. Step 6: Final answer
    x = 243,917.76

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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.