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Finding the Fourth Proportional to 505,488.57, 697,494.93 and 290,588.49

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Solution

The fourth proportional to 505,488.57, 697,494.93 and 290,588.49 is: 400,966.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,488.57 : 697,494.93 = 290,588.49 : x
  2. Step 2: Convert to fraction form
    505,488.57/697,494.93 = 290,588.49/x
  3. Step 3: Cross multiply
    505,488.57x = 697,494.93 × 290,588.49
  4. Step 4: Simplify right side
    505,488.57x = 202,683,998,491.36
  5. Step 5: Solve for x
    x = 202,683,998,491.36/505,488.57
  6. Step 6: Final answer
    x = 400,966.53

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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.