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Finding the Fourth Proportional to 290,187.50, 435,521.12 and 148,137.74

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Solution

The fourth proportional to 290,187.50, 435,521.12 and 148,137.74 is: 222,329.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,187.50 : 435,521.12 = 148,137.74 : x
  2. Step 2: Convert to fraction form
    290,187.50/435,521.12 = 148,137.74/x
  3. Step 3: Cross multiply
    290,187.50x = 435,521.12 × 148,137.74
  4. Step 4: Simplify right side
    290,187.50x = 64,517,111,520.77
  5. Step 5: Solve for x
    x = 64,517,111,520.77/290,187.50
  6. Step 6: Final answer
    x = 222,329.05

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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.