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Finding the Fourth Proportional to 250,409.96, 345,457.14 and 165,645.32

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Solution

The fourth proportional to 250,409.96, 345,457.14 and 165,645.32 is: 228,518.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,409.96 : 345,457.14 = 165,645.32 : x
  2. Step 2: Convert to fraction form
    250,409.96/345,457.14 = 165,645.32/x
  3. Step 3: Cross multiply
    250,409.96x = 345,457.14 × 165,645.32
  4. Step 4: Simplify right side
    250,409.96x = 57,223,358,501.58
  5. Step 5: Solve for x
    x = 57,223,358,501.58/250,409.96
  6. Step 6: Final answer
    x = 228,518.70

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1.5x scale

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.