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Finding the Fourth Proportional to 253,681.63, 380,191.95 and 141,357.31

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Solution

The fourth proportional to 253,681.63, 380,191.95 and 141,357.31 is: 211,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,681.63 : 380,191.95 = 141,357.31 : x
  2. Step 2: Convert to fraction form
    253,681.63/380,191.95 = 141,357.31/x
  3. Step 3: Cross multiply
    253,681.63x = 380,191.95 × 141,357.31
  4. Step 4: Simplify right side
    253,681.63x = 53,742,909,434.69
  5. Step 5: Solve for x
    x = 53,742,909,434.69/253,681.63
  6. Step 6: Final answer
    x = 211,851.80

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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.