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Finding the Fourth Proportional to 209,980.34, 314,970.74 and 52,208.81

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Solution

The fourth proportional to 209,980.34, 314,970.74 and 52,208.81 is: 78,313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,980.34 : 314,970.74 = 52,208.81 : x
  2. Step 2: Convert to fraction form
    209,980.34/314,970.74 = 52,208.81/x
  3. Step 3: Cross multiply
    209,980.34x = 314,970.74 × 52,208.81
  4. Step 4: Simplify right side
    209,980.34x = 16,444,247,520.22
  5. Step 5: Solve for x
    x = 16,444,247,520.22/209,980.34
  6. Step 6: Final answer
    x = 78,313.27

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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.