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Finding the Fourth Proportional to 747,063, 1,030,950 and 407,538.36

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Solution

The fourth proportional to 747,063, 1,030,950 and 407,538.36 is: 562,404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,063 : 1,030,950 = 407,538.36 : x
  2. Step 2: Convert to fraction form
    747,063/1,030,950 = 407,538.36/x
  3. Step 3: Cross multiply
    747,063x = 1,030,950 × 407,538.36
  4. Step 4: Simplify right side
    747,063x = 420,151,672,242
  5. Step 5: Solve for x
    x = 420,151,672,242/747,063
  6. Step 6: Final answer
    x = 562,404.61

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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.