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Finding the Fourth Proportional to 665,325.86, 917,859.99 and 407,214.30

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Solution

The fourth proportional to 665,325.86, 917,859.99 and 407,214.30 is: 561,778.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,325.86 : 917,859.99 = 407,214.30 : x
  2. Step 2: Convert to fraction form
    665,325.86/917,859.99 = 407,214.30/x
  3. Step 3: Cross multiply
    665,325.86x = 917,859.99 × 407,214.30
  4. Step 4: Simplify right side
    665,325.86x = 373,765,713,325.86
  5. Step 5: Solve for x
    x = 373,765,713,325.86/665,325.86
  6. Step 6: Final answer
    x = 561,778.42

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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.