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Finding the Fourth Proportional to 289,698.90, 434,591.55 and 102,695.70

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Solution

The fourth proportional to 289,698.90, 434,591.55 and 102,695.70 is: 154,058.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,698.90 : 434,591.55 = 102,695.70 : x
  2. Step 2: Convert to fraction form
    289,698.90/434,591.55 = 102,695.70/x
  3. Step 3: Cross multiply
    289,698.90x = 434,591.55 × 102,695.70
  4. Step 4: Simplify right side
    289,698.90x = 44,630,683,441.34
  5. Step 5: Solve for x
    x = 44,630,683,441.34/289,698.90
  6. Step 6: Final answer
    x = 154,058.86

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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.