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Finding the Fourth Proportional to 505,147.70, 697,223.49 and 290,412.52

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Solution

The fourth proportional to 505,147.70, 697,223.49 and 290,412.52 is: 400,838.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,147.70 : 697,223.49 = 290,412.52 : x
  2. Step 2: Convert to fraction form
    505,147.70/697,223.49 = 290,412.52/x
  3. Step 3: Cross multiply
    505,147.70x = 697,223.49 × 290,412.52
  4. Step 4: Simplify right side
    505,147.70x = 202,482,430,734.10
  5. Step 5: Solve for x
    x = 202,482,430,734.10/505,147.70
  6. Step 6: Final answer
    x = 400,838.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.