Home / 380,022,219.96-570,119,284.14-205,141,500.30

Finding the Fourth Proportional to 380,022,219.96, 570,119,284.14 and 205,141,500.30

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Solution

The fourth proportional to 380,022,219.96, 570,119,284.14 and 205,141,500.30 is: 307,758,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,022,219.96 : 570,119,284.14 = 205,141,500.30 : x
  2. Step 2: Convert to fraction form
    380,022,219.96/570,119,284.14 = 205,141,500.30/x
  3. Step 3: Cross multiply
    380,022,219.96x = 570,119,284.14 × 205,141,500.30
  4. Step 4: Simplify right side
    380,022,219.96x = 116,955,125,298,441,600
  5. Step 5: Solve for x
    x = 116,955,125,298,441,600/380,022,219.96
  6. Step 6: Final answer
    x = 307,758,649.77

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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.