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Finding the Fourth Proportional to 357,226, 492,887.04 and 202,179.28

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Solution

The fourth proportional to 357,226, 492,887.04 and 202,179.28 is: 278,959.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,226 : 492,887.04 = 202,179.28 : x
  2. Step 2: Convert to fraction form
    357,226/492,887.04 = 202,179.28/x
  3. Step 3: Cross multiply
    357,226x = 492,887.04 × 202,179.28
  4. Step 4: Simplify right side
    357,226x = 99,651,546,868.53
  5. Step 5: Solve for x
    x = 99,651,546,868.53/357,226
  6. Step 6: Final answer
    x = 278,959.39

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1.5x scale

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.