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Finding the Fourth Proportional to 655,093.12, 904,074.24 and 368,640.64

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Solution

The fourth proportional to 655,093.12, 904,074.24 and 368,640.64 is: 508,749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,093.12 : 904,074.24 = 368,640.64 : x
  2. Step 2: Convert to fraction form
    655,093.12/904,074.24 = 368,640.64/x
  3. Step 3: Cross multiply
    655,093.12x = 904,074.24 × 368,640.64
  4. Step 4: Simplify right side
    655,093.12x = 333,278,506,441.11
  5. Step 5: Solve for x
    x = 333,278,506,441.11/655,093.12
  6. Step 6: Final answer
    x = 508,749.82

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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.