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Finding the Fourth Proportional to 290,038.20, 434,711.70 and 121,558.20

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Solution

The fourth proportional to 290,038.20, 434,711.70 and 121,558.20 is: 182,192.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,038.20 : 434,711.70 = 121,558.20 : x
  2. Step 2: Convert to fraction form
    290,038.20/434,711.70 = 121,558.20/x
  3. Step 3: Cross multiply
    290,038.20x = 434,711.70 × 121,558.20
  4. Step 4: Simplify right side
    290,038.20x = 52,842,771,770.94
  5. Step 5: Solve for x
    x = 52,842,771,770.94/290,038.20
  6. Step 6: Final answer
    x = 182,192.46

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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.