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Finding the Fourth Proportional to 660,992.92, 991,312.26 and 286,927

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Solution

The fourth proportional to 660,992.92, 991,312.26 and 286,927 is: 430,313.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,992.92 : 991,312.26 = 286,927 : x
  2. Step 2: Convert to fraction form
    660,992.92/991,312.26 = 286,927/x
  3. Step 3: Cross multiply
    660,992.92x = 991,312.26 × 286,927
  4. Step 4: Simplify right side
    660,992.92x = 284,434,252,825.02
  5. Step 5: Solve for x
    x = 284,434,252,825.02/660,992.92
  6. Step 6: Final answer
    x = 430,313.61

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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.