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Finding the Fourth Proportional to 389,442, 537,429.99 and 210,594

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Solution

The fourth proportional to 389,442, 537,429.99 and 210,594 is: 290,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,442 : 537,429.99 = 210,594 : x
  2. Step 2: Convert to fraction form
    389,442/537,429.99 = 210,594/x
  3. Step 3: Cross multiply
    389,442x = 537,429.99 × 210,594
  4. Step 4: Simplify right side
    389,442x = 113,179,531,314.06
  5. Step 5: Solve for x
    x = 113,179,531,314.06/389,442
  6. Step 6: Final answer
    x = 290,619.74

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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.