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Finding the Fourth Proportional to 538,478.64, 742,945.92 and 347,600.64

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Solution

The fourth proportional to 538,478.64, 742,945.92 and 347,600.64 is: 479,589.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,478.64 : 742,945.92 = 347,600.64 : x
  2. Step 2: Convert to fraction form
    538,478.64/742,945.92 = 347,600.64/x
  3. Step 3: Cross multiply
    538,478.64x = 742,945.92 × 347,600.64
  4. Step 4: Simplify right side
    538,478.64x = 258,248,477,277.39
  5. Step 5: Solve for x
    x = 258,248,477,277.39/538,478.64
  6. Step 6: Final answer
    x = 479,589.08

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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.