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Finding the Fourth Proportional to 3,671,978.40, 5,507,967.60 and 3,406,557.60

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Solution

The fourth proportional to 3,671,978.40, 5,507,967.60 and 3,406,557.60 is: 5,109,836.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671,978.40 : 5,507,967.60 = 3,406,557.60 : x
  2. Step 2: Convert to fraction form
    3,671,978.40/5,507,967.60 = 3,406,557.60/x
  3. Step 3: Cross multiply
    3,671,978.40x = 5,507,967.60 × 3,406,557.60
  4. Step 4: Simplify right side
    3,671,978.40x = 18,763,208,888,333.76
  5. Step 5: Solve for x
    x = 18,763,208,888,333.76/3,671,978.40
  6. Step 6: Final answer
    x = 5,109,836.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.