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Finding the Fourth Proportional to 389,352, 537,305.88 and 210,504

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Solution

The fourth proportional to 389,352, 537,305.88 and 210,504 is: 290,495.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,352 : 537,305.88 = 210,504 : x
  2. Step 2: Convert to fraction form
    389,352/537,305.88 = 210,504/x
  3. Step 3: Cross multiply
    389,352x = 537,305.88 × 210,504
  4. Step 4: Simplify right side
    389,352x = 113,105,036,963.52
  5. Step 5: Solve for x
    x = 113,105,036,963.52/389,352
  6. Step 6: Final answer
    x = 290,495.58

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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.