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Finding the Fourth Proportional to 290,813.76, 436,032.72 and 138,948.48

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Solution

The fourth proportional to 290,813.76, 436,032.72 and 138,948.48 is: 208,332.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,813.76 : 436,032.72 = 138,948.48 : x
  2. Step 2: Convert to fraction form
    290,813.76/436,032.72 = 138,948.48/x
  3. Step 3: Cross multiply
    290,813.76x = 436,032.72 × 138,948.48
  4. Step 4: Simplify right side
    290,813.76x = 60,586,083,674.27
  5. Step 5: Solve for x
    x = 60,586,083,674.27/290,813.76
  6. Step 6: Final answer
    x = 208,332.93

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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.