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Finding the Fourth Proportional to 287,137.20, 429,928.20 and 224,929.20

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Solution

The fourth proportional to 287,137.20, 429,928.20 and 224,929.20 is: 336,784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,137.20 : 429,928.20 = 224,929.20 : x
  2. Step 2: Convert to fraction form
    287,137.20/429,928.20 = 224,929.20/x
  3. Step 3: Cross multiply
    287,137.20x = 429,928.20 × 224,929.20
  4. Step 4: Simplify right side
    287,137.20x = 96,703,406,083.44
  5. Step 5: Solve for x
    x = 96,703,406,083.44/287,137.20
  6. Step 6: Final answer
    x = 336,784.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.