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Finding the Fourth Proportional to 401,643.34, 553,835 and 305,025.32

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Solution

The fourth proportional to 401,643.34, 553,835 and 305,025.32 is: 420,606.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,643.34 : 553,835 = 305,025.32 : x
  2. Step 2: Convert to fraction form
    401,643.34/553,835 = 305,025.32/x
  3. Step 3: Cross multiply
    401,643.34x = 553,835 × 305,025.32
  4. Step 4: Simplify right side
    401,643.34x = 168,933,698,102.20
  5. Step 5: Solve for x
    x = 168,933,698,102.20/401,643.34
  6. Step 6: Final answer
    x = 420,606.25

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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.