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Finding the Fourth Proportional to 218,365.86, 301,509.14 and 214,878.26

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Solution

The fourth proportional to 218,365.86, 301,509.14 and 214,878.26 is: 296,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,365.86 : 301,509.14 = 214,878.26 : x
  2. Step 2: Convert to fraction form
    218,365.86/301,509.14 = 214,878.26/x
  3. Step 3: Cross multiply
    218,365.86x = 301,509.14 × 214,878.26
  4. Step 4: Simplify right side
    218,365.86x = 64,787,756,795.36
  5. Step 5: Solve for x
    x = 64,787,756,795.36/218,365.86
  6. Step 6: Final answer
    x = 296,693.62

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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.