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Finding the Fourth Proportional to 213,467.40, 294,580.80 and 117,978.12

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Solution

The fourth proportional to 213,467.40, 294,580.80 and 117,978.12 is: 162,807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,467.40 : 294,580.80 = 117,978.12 : x
  2. Step 2: Convert to fraction form
    213,467.40/294,580.80 = 117,978.12/x
  3. Step 3: Cross multiply
    213,467.40x = 294,580.80 × 117,978.12
  4. Step 4: Simplify right side
    213,467.40x = 34,754,088,972.10
  5. Step 5: Solve for x
    x = 34,754,088,972.10/213,467.40
  6. Step 6: Final answer
    x = 162,807.48

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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.