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Finding the Fourth Proportional to 654,018.75, 980,114.70 and 316,969.92

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Solution

The fourth proportional to 654,018.75, 980,114.70 and 316,969.92 is: 475,012.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,018.75 : 980,114.70 = 316,969.92 : x
  2. Step 2: Convert to fraction form
    654,018.75/980,114.70 = 316,969.92/x
  3. Step 3: Cross multiply
    654,018.75x = 980,114.70 × 316,969.92
  4. Step 4: Simplify right side
    654,018.75x = 310,666,878,049.82
  5. Step 5: Solve for x
    x = 310,666,878,049.82/654,018.75
  6. Step 6: Final answer
    x = 475,012.19

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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.