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Finding the Fourth Proportional to 411,831.80, 618,093.30 and 201,649.40

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Solution

The fourth proportional to 411,831.80, 618,093.30 and 201,649.40 is: 302,643.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,831.80 : 618,093.30 = 201,649.40 : x
  2. Step 2: Convert to fraction form
    411,831.80/618,093.30 = 201,649.40/x
  3. Step 3: Cross multiply
    411,831.80x = 618,093.30 × 201,649.40
  4. Step 4: Simplify right side
    411,831.80x = 124,638,143,089.02
  5. Step 5: Solve for x
    x = 124,638,143,089.02/411,831.80
  6. Step 6: Final answer
    x = 302,643.32

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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.