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Finding the Fourth Proportional to 389,291.84, 537,221.28 and 210,443.84

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Solution

The fourth proportional to 389,291.84, 537,221.28 and 210,443.84 is: 290,411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,291.84 : 537,221.28 = 210,443.84 : x
  2. Step 2: Convert to fraction form
    389,291.84/537,221.28 = 210,443.84/x
  3. Step 3: Cross multiply
    389,291.84x = 537,221.28 × 210,443.84
  4. Step 4: Simplify right side
    389,291.84x = 113,054,909,092.92
  5. Step 5: Solve for x
    x = 113,054,909,092.92/389,291.84
  6. Step 6: Final answer
    x = 290,411.71

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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.