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Finding the Fourth Proportional to 538,074.76, 742,478.16 and 308,620.16

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Solution

The fourth proportional to 538,074.76, 742,478.16 and 308,620.16 is: 425,858.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,074.76 : 742,478.16 = 308,620.16 : x
  2. Step 2: Convert to fraction form
    538,074.76/742,478.16 = 308,620.16/x
  3. Step 3: Cross multiply
    538,074.76x = 742,478.16 × 308,620.16
  4. Step 4: Simplify right side
    538,074.76x = 229,143,728,535.71
  5. Step 5: Solve for x
    x = 229,143,728,535.71/538,074.76
  6. Step 6: Final answer
    x = 425,858.53

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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.