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Finding the Fourth Proportional to 653,142.82, 901,329.16 and 366,655.54

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Solution

The fourth proportional to 653,142.82, 901,329.16 and 366,655.54 is: 505,980.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,142.82 : 901,329.16 = 366,655.54 : x
  2. Step 2: Convert to fraction form
    653,142.82/901,329.16 = 366,655.54/x
  3. Step 3: Cross multiply
    653,142.82x = 901,329.16 × 366,655.54
  4. Step 4: Simplify right side
    653,142.82x = 330,477,329,877.55
  5. Step 5: Solve for x
    x = 330,477,329,877.55/653,142.82
  6. Step 6: Final answer
    x = 505,980.19

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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.