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Finding the Fourth Proportional to 389,323, 537,266.46 and 210,475

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Solution

The fourth proportional to 389,323, 537,266.46 and 210,475 is: 290,455.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,323 : 537,266.46 = 210,475 : x
  2. Step 2: Convert to fraction form
    389,323/537,266.46 = 210,475/x
  3. Step 3: Cross multiply
    389,323x = 537,266.46 × 210,475
  4. Step 4: Simplify right side
    389,323x = 113,081,158,168.50
  5. Step 5: Solve for x
    x = 113,081,158,168.50/389,323
  6. Step 6: Final answer
    x = 290,455.89

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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.