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Finding the Fourth Proportional to 389,946, 538,208.64 and 267,605.76

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Solution

The fourth proportional to 389,946, 538,208.64 and 267,605.76 is: 369,353.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,946 : 538,208.64 = 267,605.76 : x
  2. Step 2: Convert to fraction form
    389,946/538,208.64 = 267,605.76/x
  3. Step 3: Cross multiply
    389,946x = 538,208.64 × 267,605.76
  4. Step 4: Simplify right side
    389,946x = 144,027,732,145.77
  5. Step 5: Solve for x
    x = 144,027,732,145.77/389,946
  6. Step 6: Final answer
    x = 369,353.02

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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.