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Finding the Fourth Proportional to 320,774.88, 442,643.76 and 177,532.32

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Solution

The fourth proportional to 320,774.88, 442,643.76 and 177,532.32 is: 244,980.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,774.88 : 442,643.76 = 177,532.32 : x
  2. Step 2: Convert to fraction form
    320,774.88/442,643.76 = 177,532.32/x
  3. Step 3: Cross multiply
    320,774.88x = 442,643.76 × 177,532.32
  4. Step 4: Simplify right side
    320,774.88x = 78,583,573,646.32
  5. Step 5: Solve for x
    x = 78,583,573,646.32/320,774.88
  6. Step 6: Final answer
    x = 244,980.45

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1.5x scale

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.