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Finding the Fourth Proportional to 389,507, 537,519.66 and 210,659

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Solution

The fourth proportional to 389,507, 537,519.66 and 210,659 is: 290,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,507 : 537,519.66 = 210,659 : x
  2. Step 2: Convert to fraction form
    389,507/537,519.66 = 210,659/x
  3. Step 3: Cross multiply
    389,507x = 537,519.66 × 210,659
  4. Step 4: Simplify right side
    389,507x = 113,233,354,055.94
  5. Step 5: Solve for x
    x = 113,233,354,055.94/389,507
  6. Step 6: Final answer
    x = 290,709.42

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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.