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Finding the Fourth Proportional to 427,140, 589,496.64 and 245,859.52

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Solution

The fourth proportional to 427,140, 589,496.64 and 245,859.52 is: 339,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,140 : 589,496.64 = 245,859.52 : x
  2. Step 2: Convert to fraction form
    427,140/589,496.64 = 245,859.52/x
  3. Step 3: Cross multiply
    427,140x = 589,496.64 × 245,859.52
  4. Step 4: Simplify right side
    427,140x = 144,933,360,952.01
  5. Step 5: Solve for x
    x = 144,933,360,952.01/427,140
  6. Step 6: Final answer
    x = 339,311.14

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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.