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Finding the Fourth Proportional to 290,465.70, 435,640.95 and 140,705.70

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Solution

The fourth proportional to 290,465.70, 435,640.95 and 140,705.70 is: 211,030.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,465.70 : 435,640.95 = 140,705.70 : x
  2. Step 2: Convert to fraction form
    290,465.70/435,640.95 = 140,705.70/x
  3. Step 3: Cross multiply
    290,465.70x = 435,640.95 × 140,705.70
  4. Step 4: Simplify right side
    290,465.70x = 61,297,164,818.42
  5. Step 5: Solve for x
    x = 61,297,164,818.42/290,465.70
  6. Step 6: Final answer
    x = 211,030.65

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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.