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Finding the Fourth Proportional to 455,688.42, 682,890.79 and 348,658

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Solution

The fourth proportional to 455,688.42, 682,890.79 and 348,658 is: 522,495.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,688.42 : 682,890.79 = 348,658 : x
  2. Step 2: Convert to fraction form
    455,688.42/682,890.79 = 348,658/x
  3. Step 3: Cross multiply
    455,688.42x = 682,890.79 × 348,658
  4. Step 4: Simplify right side
    455,688.42x = 238,095,337,059.82
  5. Step 5: Solve for x
    x = 238,095,337,059.82/455,688.42
  6. Step 6: Final answer
    x = 522,495.91

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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.