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Finding the Fourth Proportional to 228,989.40, 316,006.52 and 127,007.76

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Solution

The fourth proportional to 228,989.40, 316,006.52 and 127,007.76 is: 175,271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,989.40 : 316,006.52 = 127,007.76 : x
  2. Step 2: Convert to fraction form
    228,989.40/316,006.52 = 127,007.76/x
  3. Step 3: Cross multiply
    228,989.40x = 316,006.52 × 127,007.76
  4. Step 4: Simplify right side
    228,989.40x = 40,135,280,800.58
  5. Step 5: Solve for x
    x = 40,135,280,800.58/228,989.40
  6. Step 6: Final answer
    x = 175,271.35

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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.