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Finding the Fourth Proportional to 389,424, 537,405.15 and 210,576

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Solution

The fourth proportional to 389,424, 537,405.15 and 210,576 is: 290,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,424 : 537,405.15 = 210,576 : x
  2. Step 2: Convert to fraction form
    389,424/537,405.15 = 210,576/x
  3. Step 3: Cross multiply
    389,424x = 537,405.15 × 210,576
  4. Step 4: Simplify right side
    389,424x = 113,164,626,866.40
  5. Step 5: Solve for x
    x = 113,164,626,866.40/389,424
  6. Step 6: Final answer
    x = 290,594.90

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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.