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Finding the Fourth Proportional to 455,849.40, 683,774.10 and 403,361.40

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Solution

The fourth proportional to 455,849.40, 683,774.10 and 403,361.40 is: 605,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,849.40 : 683,774.10 = 403,361.40 : x
  2. Step 2: Convert to fraction form
    455,849.40/683,774.10 = 403,361.40/x
  3. Step 3: Cross multiply
    455,849.40x = 683,774.10 × 403,361.40
  4. Step 4: Simplify right side
    455,849.40x = 275,808,078,259.74
  5. Step 5: Solve for x
    x = 275,808,078,259.74/455,849.40
  6. Step 6: Final answer
    x = 605,042.10

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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.