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Finding the Fourth Proportional to 427,433.03, 640,307.01 and 347,561.16

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Solution

The fourth proportional to 427,433.03, 640,307.01 and 347,561.16 is: 520,656.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,433.03 : 640,307.01 = 347,561.16 : x
  2. Step 2: Convert to fraction form
    427,433.03/640,307.01 = 347,561.16/x
  3. Step 3: Cross multiply
    427,433.03x = 640,307.01 × 347,561.16
  4. Step 4: Simplify right side
    427,433.03x = 222,545,847,700.63
  5. Step 5: Solve for x
    x = 222,545,847,700.63/427,433.03
  6. Step 6: Final answer
    x = 520,656.64

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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.