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Finding the Fourth Proportional to 462,358.29, 638,000.64 and 258,409.62

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Solution

The fourth proportional to 462,358.29, 638,000.64 and 258,409.62 is: 356,575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,358.29 : 638,000.64 = 258,409.62 : x
  2. Step 2: Convert to fraction form
    462,358.29/638,000.64 = 258,409.62/x
  3. Step 3: Cross multiply
    462,358.29x = 638,000.64 × 258,409.62
  4. Step 4: Simplify right side
    462,358.29x = 164,865,502,942.16
  5. Step 5: Solve for x
    x = 164,865,502,942.16/462,358.29
  6. Step 6: Final answer
    x = 356,575.21

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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.