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Finding the Fourth Proportional to 389,225, 537,130.56 and 210,377

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Solution

The fourth proportional to 389,225, 537,130.56 and 210,377 is: 290,320.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,225 : 537,130.56 = 210,377 : x
  2. Step 2: Convert to fraction form
    389,225/537,130.56 = 210,377/x
  3. Step 3: Cross multiply
    389,225x = 537,130.56 × 210,377
  4. Step 4: Simplify right side
    389,225x = 112,999,915,821.12
  5. Step 5: Solve for x
    x = 112,999,915,821.12/389,225
  6. Step 6: Final answer
    x = 290,320.29

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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.