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Finding the Fourth Proportional to 314,901, 434,718.52 and 218,178.19

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Solution

The fourth proportional to 314,901, 434,718.52 and 218,178.19 is: 301,193.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,901 : 434,718.52 = 218,178.19 : x
  2. Step 2: Convert to fraction form
    314,901/434,718.52 = 218,178.19/x
  3. Step 3: Cross multiply
    314,901x = 434,718.52 × 218,178.19
  4. Step 4: Simplify right side
    314,901x = 94,846,100,464.66
  5. Step 5: Solve for x
    x = 94,846,100,464.66/314,901
  6. Step 6: Final answer
    x = 301,193.39

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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.