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Finding the Fourth Proportional to 290,276.30, 435,381.78 and 100,701.74

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Solution

The fourth proportional to 290,276.30, 435,381.78 and 100,701.74 is: 151,041.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,276.30 : 435,381.78 = 100,701.74 : x
  2. Step 2: Convert to fraction form
    290,276.30/435,381.78 = 100,701.74/x
  3. Step 3: Cross multiply
    290,276.30x = 435,381.78 × 100,701.74
  4. Step 4: Simplify right side
    290,276.30x = 43,843,702,810.30
  5. Step 5: Solve for x
    x = 43,843,702,810.30/290,276.30
  6. Step 6: Final answer
    x = 151,041.28

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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.