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Finding the Fourth Proportional to 653,142.82, 901,287.32 and 366,607.54

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Solution

The fourth proportional to 653,142.82, 901,287.32 and 366,607.54 is: 505,890.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,142.82 : 901,287.32 = 366,607.54 : x
  2. Step 2: Convert to fraction form
    653,142.82/901,287.32 = 366,607.54/x
  3. Step 3: Cross multiply
    653,142.82x = 901,287.32 × 366,607.54
  4. Step 4: Simplify right side
    653,142.82x = 330,418,727,218.39
  5. Step 5: Solve for x
    x = 330,418,727,218.39/653,142.82
  6. Step 6: Final answer
    x = 505,890.47

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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.