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Finding the Fourth Proportional to 384,082.36, 530,283.32 and 343,726.74

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Solution

The fourth proportional to 384,082.36, 530,283.32 and 343,726.74 is: 474,566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,082.36 : 530,283.32 = 343,726.74 : x
  2. Step 2: Convert to fraction form
    384,082.36/530,283.32 = 343,726.74/x
  3. Step 3: Cross multiply
    384,082.36x = 530,283.32 × 343,726.74
  4. Step 4: Simplify right side
    384,082.36x = 182,272,556,859.98
  5. Step 5: Solve for x
    x = 182,272,556,859.98/384,082.36
  6. Step 6: Final answer
    x = 474,566.33

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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.