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Finding the Fourth Proportional to 228,044.76, 314,710.64 and 151,431.75

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Solution

The fourth proportional to 228,044.76, 314,710.64 and 151,431.75 is: 208,981.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,044.76 : 314,710.64 = 151,431.75 : x
  2. Step 2: Convert to fraction form
    228,044.76/314,710.64 = 151,431.75/x
  3. Step 3: Cross multiply
    228,044.76x = 314,710.64 × 151,431.75
  4. Step 4: Simplify right side
    228,044.76x = 47,657,182,958.82
  5. Step 5: Solve for x
    x = 47,657,182,958.82/228,044.76
  6. Step 6: Final answer
    x = 208,981.71

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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.