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Finding the Fourth Proportional to 382,671, 528,085.98 and 223,695

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Solution

The fourth proportional to 382,671, 528,085.98 and 223,695 is: 308,699.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,671 : 528,085.98 = 223,695 : x
  2. Step 2: Convert to fraction form
    382,671/528,085.98 = 223,695/x
  3. Step 3: Cross multiply
    382,671x = 528,085.98 × 223,695
  4. Step 4: Simplify right side
    382,671x = 118,130,193,296.10
  5. Step 5: Solve for x
    x = 118,130,193,296.10/382,671
  6. Step 6: Final answer
    x = 308,699.10

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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.