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Finding the Fourth Proportional to 213,646.16, 320,444.76 and 55,889.84

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Solution

The fourth proportional to 213,646.16, 320,444.76 and 55,889.84 is: 83,828.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,646.16 : 320,444.76 = 55,889.84 : x
  2. Step 2: Convert to fraction form
    213,646.16/320,444.76 = 55,889.84/x
  3. Step 3: Cross multiply
    213,646.16x = 320,444.76 × 55,889.84
  4. Step 4: Simplify right side
    213,646.16x = 17,909,606,365.24
  5. Step 5: Solve for x
    x = 17,909,606,365.24/213,646.16
  6. Step 6: Final answer
    x = 83,828.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.