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Finding the Fourth Proportional to 644,588.45, 889,547.87 and 354,197.64

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Solution

The fourth proportional to 644,588.45, 889,547.87 and 354,197.64 is: 488,801.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,588.45 : 889,547.87 = 354,197.64 : x
  2. Step 2: Convert to fraction form
    644,588.45/889,547.87 = 354,197.64/x
  3. Step 3: Cross multiply
    644,588.45x = 889,547.87 × 354,197.64
  4. Step 4: Simplify right side
    644,588.45x = 315,075,757,106.52
  5. Step 5: Solve for x
    x = 315,075,757,106.52/644,588.45
  6. Step 6: Final answer
    x = 488,801.44

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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.