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Finding the Fourth Proportional to 289,973.70, 434,955.06 and 119,159.10

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Solution

The fourth proportional to 289,973.70, 434,955.06 and 119,159.10 is: 178,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,973.70 : 434,955.06 = 119,159.10 : x
  2. Step 2: Convert to fraction form
    289,973.70/434,955.06 = 119,159.10/x
  3. Step 3: Cross multiply
    289,973.70x = 434,955.06 × 119,159.10
  4. Step 4: Simplify right side
    289,973.70x = 51,828,853,490.05
  5. Step 5: Solve for x
    x = 51,828,853,490.05/289,973.70
  6. Step 6: Final answer
    x = 178,736.39

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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.