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Finding the Fourth Proportional to 228,483.42, 315,307.08 and 127,881.42

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Solution

The fourth proportional to 228,483.42, 315,307.08 and 127,881.42 is: 176,476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,483.42 : 315,307.08 = 127,881.42 : x
  2. Step 2: Convert to fraction form
    228,483.42/315,307.08 = 127,881.42/x
  3. Step 3: Cross multiply
    228,483.42x = 315,307.08 × 127,881.42
  4. Step 4: Simplify right side
    228,483.42x = 40,321,917,126.45
  5. Step 5: Solve for x
    x = 40,321,917,126.45/228,483.42
  6. Step 6: Final answer
    x = 176,476.34

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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.