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Finding the Fourth Proportional to 209,638.40, 314,457.60 and 208,083.20

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Solution

The fourth proportional to 209,638.40, 314,457.60 and 208,083.20 is: 312,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,638.40 : 314,457.60 = 208,083.20 : x
  2. Step 2: Convert to fraction form
    209,638.40/314,457.60 = 208,083.20/x
  3. Step 3: Cross multiply
    209,638.40x = 314,457.60 × 208,083.20
  4. Step 4: Simplify right side
    209,638.40x = 65,433,343,672.32
  5. Step 5: Solve for x
    x = 65,433,343,672.32/209,638.40
  6. Step 6: Final answer
    x = 312,124.80

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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.