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Finding the Fourth Proportional to 430,319.52, 644,804.64 and 272,214

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Solution

The fourth proportional to 430,319.52, 644,804.64 and 272,214 is: 407,894.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,319.52 : 644,804.64 = 272,214 : x
  2. Step 2: Convert to fraction form
    430,319.52/644,804.64 = 272,214/x
  3. Step 3: Cross multiply
    430,319.52x = 644,804.64 × 272,214
  4. Step 4: Simplify right side
    430,319.52x = 175,524,850,272.96
  5. Step 5: Solve for x
    x = 175,524,850,272.96/430,319.52
  6. Step 6: Final answer
    x = 407,894.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.