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Finding the Fourth Proportional to 427,064.37, 589,438.94 and 355,374.51

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Solution

The fourth proportional to 427,064.37, 589,438.94 and 355,374.51 is: 490,491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,064.37 : 589,438.94 = 355,374.51 : x
  2. Step 2: Convert to fraction form
    427,064.37/589,438.94 = 355,374.51/x
  3. Step 3: Cross multiply
    427,064.37x = 589,438.94 × 355,374.51
  4. Step 4: Simplify right side
    427,064.37x = 209,471,572,700.55
  5. Step 5: Solve for x
    x = 209,471,572,700.55/427,064.37
  6. Step 6: Final answer
    x = 490,491.80

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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.