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Finding the Fourth Proportional to 660,993.92, 991,313.76 and 286,928

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Solution

The fourth proportional to 660,993.92, 991,313.76 and 286,928 is: 430,315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,993.92 : 991,313.76 = 286,928 : x
  2. Step 2: Convert to fraction form
    660,993.92/991,313.76 = 286,928/x
  3. Step 3: Cross multiply
    660,993.92x = 991,313.76 × 286,928
  4. Step 4: Simplify right side
    660,993.92x = 284,435,674,529.28
  5. Step 5: Solve for x
    x = 284,435,674,529.28/660,993.92
  6. Step 6: Final answer
    x = 430,315.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.