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Finding the Fourth Proportional to 290,407.51, 435,633.14 and 80,043.63

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Solution

The fourth proportional to 290,407.51, 435,633.14 and 80,043.63 is: 120,071.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,407.51 : 435,633.14 = 80,043.63 : x
  2. Step 2: Convert to fraction form
    290,407.51/435,633.14 = 80,043.63/x
  3. Step 3: Cross multiply
    290,407.51x = 435,633.14 × 80,043.63
  4. Step 4: Simplify right side
    290,407.51x = 34,869,657,873.90
  5. Step 5: Solve for x
    x = 34,869,657,873.90/290,407.51
  6. Step 6: Final answer
    x = 120,071.47

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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.