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Finding the Fourth Proportional to 389,352.16, 537,273.80 and 219,628

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Solution

The fourth proportional to 389,352.16, 537,273.80 and 219,628 is: 303,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,352.16 : 537,273.80 = 219,628 : x
  2. Step 2: Convert to fraction form
    389,352.16/537,273.80 = 219,628/x
  3. Step 3: Cross multiply
    389,352.16x = 537,273.80 × 219,628
  4. Step 4: Simplify right side
    389,352.16x = 118,000,370,146.40
  5. Step 5: Solve for x
    x = 118,000,370,146.40/389,352.16
  6. Step 6: Final answer
    x = 303,068.49

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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.