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Finding the Fourth Proportional to 290,606.94, 435,098.39 and 157,008.51

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Solution

The fourth proportional to 290,606.94, 435,098.39 and 157,008.51 is: 235,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,606.94 : 435,098.39 = 157,008.51 : x
  2. Step 2: Convert to fraction form
    290,606.94/435,098.39 = 157,008.51/x
  3. Step 3: Cross multiply
    290,606.94x = 435,098.39 × 157,008.51
  4. Step 4: Simplify right side
    290,606.94x = 68,314,149,132.26
  5. Step 5: Solve for x
    x = 68,314,149,132.26/290,606.94
  6. Step 6: Final answer
    x = 235,074.05

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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.