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Finding the Fourth Proportional to 665,907.85, 918,735.05 and 407,515.43

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Solution

The fourth proportional to 665,907.85, 918,735.05 and 407,515.43 is: 562,238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,907.85 : 918,735.05 = 407,515.43 : x
  2. Step 2: Convert to fraction form
    665,907.85/918,735.05 = 407,515.43/x
  3. Step 3: Cross multiply
    665,907.85x = 918,735.05 × 407,515.43
  4. Step 4: Simplify right side
    665,907.85x = 374,398,712,272.45
  5. Step 5: Solve for x
    x = 374,398,712,272.45/665,907.85
  6. Step 6: Final answer
    x = 562,238.02

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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.