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Finding the Fourth Proportional to 665,325.67, 917,859.74 and 407,214.11

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Solution

The fourth proportional to 665,325.67, 917,859.74 and 407,214.11 is: 561,778.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,325.67 : 917,859.74 = 407,214.11 : x
  2. Step 2: Convert to fraction form
    665,325.67/917,859.74 = 407,214.11/x
  3. Step 3: Cross multiply
    665,325.67x = 917,859.74 × 407,214.11
  4. Step 4: Simplify right side
    665,325.67x = 373,765,430,503.56
  5. Step 5: Solve for x
    x = 373,765,430,503.56/665,325.67
  6. Step 6: Final answer
    x = 561,778.16

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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.