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Finding the Fourth Proportional to 209,675.40, 314,513.10 and 139,691.40

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Solution

The fourth proportional to 209,675.40, 314,513.10 and 139,691.40 is: 209,537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,675.40 : 314,513.10 = 139,691.40 : x
  2. Step 2: Convert to fraction form
    209,675.40/314,513.10 = 139,691.40/x
  3. Step 3: Cross multiply
    209,675.40x = 314,513.10 × 139,691.40
  4. Step 4: Simplify right side
    209,675.40x = 43,934,775,257.34
  5. Step 5: Solve for x
    x = 43,934,775,257.34/209,675.40
  6. Step 6: Final answer
    x = 209,537.10

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1.5x scale

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.