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Finding the Fourth Proportional to 389,208.77, 537,107.86 and 210,360.77

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Solution

The fourth proportional to 389,208.77, 537,107.86 and 210,360.77 is: 290,297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,208.77 : 537,107.86 = 210,360.77 : x
  2. Step 2: Convert to fraction form
    389,208.77/537,107.86 = 210,360.77/x
  3. Step 3: Cross multiply
    389,208.77x = 537,107.86 × 210,360.77
  4. Step 4: Simplify right side
    389,208.77x = 112,986,423,002.65
  5. Step 5: Solve for x
    x = 112,986,423,002.65/389,208.77
  6. Step 6: Final answer
    x = 290,297.73

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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.