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Finding the Fourth Proportional to 290,014.03, 435,041.78 and 121,364.53

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Solution

The fourth proportional to 290,014.03, 435,041.78 and 121,364.53 is: 182,055.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,014.03 : 435,041.78 = 121,364.53 : x
  2. Step 2: Convert to fraction form
    290,014.03/435,041.78 = 121,364.53/x
  3. Step 3: Cross multiply
    290,014.03x = 435,041.78 × 121,364.53
  4. Step 4: Simplify right side
    290,014.03x = 52,798,641,160.06
  5. Step 5: Solve for x
    x = 52,798,641,160.06/290,014.03
  6. Step 6: Final answer
    x = 182,055.47

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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.