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Finding the Fourth Proportional to 290,062.52, 435,114.72 and 121,413.14

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Solution

The fourth proportional to 290,062.52, 435,114.72 and 121,413.14 is: 182,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,062.52 : 435,114.72 = 121,413.14 : x
  2. Step 2: Convert to fraction form
    290,062.52/435,114.72 = 121,413.14/x
  3. Step 3: Cross multiply
    290,062.52x = 435,114.72 × 121,413.14
  4. Step 4: Simplify right side
    290,062.52x = 52,828,644,415.42
  5. Step 5: Solve for x
    x = 52,828,644,415.42/290,062.52
  6. Step 6: Final answer
    x = 182,128.47

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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.