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Finding the Fourth Proportional to 455,878.84, 683,913.30 and 140,320.12

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Solution

The fourth proportional to 455,878.84, 683,913.30 and 140,320.12 is: 210,509.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,878.84 : 683,913.30 = 140,320.12 : x
  2. Step 2: Convert to fraction form
    455,878.84/683,913.30 = 140,320.12/x
  3. Step 3: Cross multiply
    455,878.84x = 683,913.30 × 140,320.12
  4. Step 4: Simplify right side
    455,878.84x = 95,966,796,325.60
  5. Step 5: Solve for x
    x = 95,966,796,325.60/455,878.84
  6. Step 6: Final answer
    x = 210,509.43

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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.