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Finding the Fourth Proportional to 290,124.52, 434,331.42 and 282,970.60

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Solution

The fourth proportional to 290,124.52, 434,331.42 and 282,970.60 is: 423,621.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,124.52 : 434,331.42 = 282,970.60 : x
  2. Step 2: Convert to fraction form
    290,124.52/434,331.42 = 282,970.60/x
  3. Step 3: Cross multiply
    290,124.52x = 434,331.42 × 282,970.60
  4. Step 4: Simplify right side
    290,124.52x = 122,903,022,516.25
  5. Step 5: Solve for x
    x = 122,903,022,516.25/290,124.52
  6. Step 6: Final answer
    x = 423,621.63

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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.