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Finding the Fourth Proportional to 290,274.30, 435,378.78 and 100,699.74

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Solution

The fourth proportional to 290,274.30, 435,378.78 and 100,699.74 is: 151,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,274.30 : 435,378.78 = 100,699.74 : x
  2. Step 2: Convert to fraction form
    290,274.30/435,378.78 = 100,699.74/x
  3. Step 3: Cross multiply
    290,274.30x = 435,378.78 × 100,699.74
  4. Step 4: Simplify right side
    290,274.30x = 43,842,529,947.52
  5. Step 5: Solve for x
    x = 43,842,529,947.52/290,274.30
  6. Step 6: Final answer
    x = 151,038.28

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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.