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Finding the Fourth Proportional to 505,063.56, 697,107 and 290,328.20

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Solution

The fourth proportional to 505,063.56, 697,107 and 290,328.20 is: 400,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,063.56 : 697,107 = 290,328.20 : x
  2. Step 2: Convert to fraction form
    505,063.56/697,107 = 290,328.20/x
  3. Step 3: Cross multiply
    505,063.56x = 697,107 × 290,328.20
  4. Step 4: Simplify right side
    505,063.56x = 202,389,820,517.40
  5. Step 5: Solve for x
    x = 202,389,820,517.40/505,063.56
  6. Step 6: Final answer
    x = 400,721.49

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1.5x scale

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.