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Finding the Fourth Proportional to 389,355, 537,309.90 and 210,507

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Solution

The fourth proportional to 389,355, 537,309.90 and 210,507 is: 290,499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,355 : 537,309.90 = 210,507 : x
  2. Step 2: Convert to fraction form
    389,355/537,309.90 = 210,507/x
  3. Step 3: Cross multiply
    389,355x = 537,309.90 × 210,507
  4. Step 4: Simplify right side
    389,355x = 113,107,495,119.30
  5. Step 5: Solve for x
    x = 113,107,495,119.30/389,355
  6. Step 6: Final answer
    x = 290,499.66

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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.