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Finding the Fourth Proportional to 538,434.87, 743,030.57 and 293,421.82

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Solution

The fourth proportional to 538,434.87, 743,030.57 and 293,421.82 is: 404,916.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,434.87 : 743,030.57 = 293,421.82 : x
  2. Step 2: Convert to fraction form
    538,434.87/743,030.57 = 293,421.82/x
  3. Step 3: Cross multiply
    538,434.87x = 743,030.57 × 293,421.82
  4. Step 4: Simplify right side
    538,434.87x = 218,021,378,693.93
  5. Step 5: Solve for x
    x = 218,021,378,693.93/538,434.87
  6. Step 6: Final answer
    x = 404,916.90

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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.