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Finding the Fourth Proportional to 438,774.30, 657,643.05 and 186,054.30

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Solution

The fourth proportional to 438,774.30, 657,643.05 and 186,054.30 is: 278,861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,774.30 : 657,643.05 = 186,054.30 : x
  2. Step 2: Convert to fraction form
    438,774.30/657,643.05 = 186,054.30/x
  3. Step 3: Cross multiply
    438,774.30x = 657,643.05 × 186,054.30
  4. Step 4: Simplify right side
    438,774.30x = 122,357,317,317.62
  5. Step 5: Solve for x
    x = 122,357,317,317.62/438,774.30
  6. Step 6: Final answer
    x = 278,861.63

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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.