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Finding the Fourth Proportional to 532,086.63, 734,295.02 and 290,384.77

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Solution

The fourth proportional to 532,086.63, 734,295.02 and 290,384.77 is: 400,739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,086.63 : 734,295.02 = 290,384.77 : x
  2. Step 2: Convert to fraction form
    532,086.63/734,295.02 = 290,384.77/x
  3. Step 3: Cross multiply
    532,086.63x = 734,295.02 × 290,384.77
  4. Step 4: Simplify right side
    532,086.63x = 213,228,090,494.85
  5. Step 5: Solve for x
    x = 213,228,090,494.85/532,086.63
  6. Step 6: Final answer
    x = 400,739.43

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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.