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Finding the Fourth Proportional to 213,458, 294,577.92 and 117,970.88

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Solution

The fourth proportional to 213,458, 294,577.92 and 117,970.88 is: 162,803.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,458 : 294,577.92 = 117,970.88 : x
  2. Step 2: Convert to fraction form
    213,458/294,577.92 = 117,970.88/x
  3. Step 3: Cross multiply
    213,458x = 294,577.92 × 117,970.88
  4. Step 4: Simplify right side
    213,458x = 34,751,616,450.97
  5. Step 5: Solve for x
    x = 34,751,616,450.97/213,458
  6. Step 6: Final answer
    x = 162,803.06

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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.