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Finding the Fourth Proportional to 210,317.80, 314,958.30 and 139,815.40

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Solution

The fourth proportional to 210,317.80, 314,958.30 and 139,815.40 is: 209,378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,317.80 : 314,958.30 = 139,815.40 : x
  2. Step 2: Convert to fraction form
    210,317.80/314,958.30 = 139,815.40/x
  3. Step 3: Cross multiply
    210,317.80x = 314,958.30 × 139,815.40
  4. Step 4: Simplify right side
    210,317.80x = 44,036,020,697.82
  5. Step 5: Solve for x
    x = 44,036,020,697.82/210,317.80
  6. Step 6: Final answer
    x = 209,378.48

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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.