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Finding the Fourth Proportional to 290,557.53, 435,877.88 and 140,674.77

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Solution

The fourth proportional to 290,557.53, 435,877.88 and 140,674.77 is: 211,032.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,557.53 : 435,877.88 = 140,674.77 : x
  2. Step 2: Convert to fraction form
    290,557.53/435,877.88 = 140,674.77/x
  3. Step 3: Cross multiply
    290,557.53x = 435,877.88 × 140,674.77
  4. Step 4: Simplify right side
    290,557.53x = 61,317,019,813.71
  5. Step 5: Solve for x
    x = 61,317,019,813.71/290,557.53
  6. Step 6: Final answer
    x = 211,032.29

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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.