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Finding the Fourth Proportional to 427,074.39, 589,362.48 and 257,341.32

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Solution

The fourth proportional to 427,074.39, 589,362.48 and 257,341.32 is: 355,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,074.39 : 589,362.48 = 257,341.32 : x
  2. Step 2: Convert to fraction form
    427,074.39/589,362.48 = 257,341.32/x
  3. Step 3: Cross multiply
    427,074.39x = 589,362.48 × 257,341.32
  4. Step 4: Simplify right side
    427,074.39x = 151,667,318,561.67
  5. Step 5: Solve for x
    x = 151,667,318,561.67/427,074.39
  6. Step 6: Final answer
    x = 355,130.91

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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.