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Finding the Fourth Proportional to 228,012, 314,656.56 and 127,419.36

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Solution

The fourth proportional to 228,012, 314,656.56 and 127,419.36 is: 175,838.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,012 : 314,656.56 = 127,419.36 : x
  2. Step 2: Convert to fraction form
    228,012/314,656.56 = 127,419.36/x
  3. Step 3: Cross multiply
    228,012x = 314,656.56 × 127,419.36
  4. Step 4: Simplify right side
    228,012x = 40,093,337,495.00
  5. Step 5: Solve for x
    x = 40,093,337,495.00/228,012
  6. Step 6: Final answer
    x = 175,838.72

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1.5x scale

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.