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Finding the Fourth Proportional to 320,374.32, 442,221.48 and 224,904.48

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Solution

The fourth proportional to 320,374.32, 442,221.48 and 224,904.48 is: 310,441.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,374.32 : 442,221.48 = 224,904.48 : x
  2. Step 2: Convert to fraction form
    320,374.32/442,221.48 = 224,904.48/x
  3. Step 3: Cross multiply
    320,374.32x = 442,221.48 × 224,904.48
  4. Step 4: Simplify right side
    320,374.32x = 99,457,592,004.23
  5. Step 5: Solve for x
    x = 99,457,592,004.23/320,374.32
  6. Step 6: Final answer
    x = 310,441.84

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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.