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Finding the Fourth Proportional to 665,346, 918,200.16 and 363,559.44

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Solution

The fourth proportional to 665,346, 918,200.16 and 363,559.44 is: 501,724.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,346 : 918,200.16 = 363,559.44 : x
  2. Step 2: Convert to fraction form
    665,346/918,200.16 = 363,559.44/x
  3. Step 3: Cross multiply
    665,346x = 918,200.16 × 363,559.44
  4. Step 4: Simplify right side
    665,346x = 333,820,335,977.51
  5. Step 5: Solve for x
    x = 333,820,335,977.51/665,346
  6. Step 6: Final answer
    x = 501,724.42

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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.