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Finding the Fourth Proportional to 389,952, 538,133.76 and 211,104

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Solution

The fourth proportional to 389,952, 538,133.76 and 211,104 is: 291,323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,952 : 538,133.76 = 211,104 : x
  2. Step 2: Convert to fraction form
    389,952/538,133.76 = 211,104/x
  3. Step 3: Cross multiply
    389,952x = 538,133.76 × 211,104
  4. Step 4: Simplify right side
    389,952x = 113,602,189,271.04
  5. Step 5: Solve for x
    x = 113,602,189,271.04/389,952
  6. Step 6: Final answer
    x = 291,323.52

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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.