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Finding the Fourth Proportional to 430,321.52, 644,807.64 and 272,216

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Solution

The fourth proportional to 430,321.52, 644,807.64 and 272,216 is: 407,897.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,321.52 : 644,807.64 = 272,216 : x
  2. Step 2: Convert to fraction form
    430,321.52/644,807.64 = 272,216/x
  3. Step 3: Cross multiply
    430,321.52x = 644,807.64 × 272,216
  4. Step 4: Simplify right side
    430,321.52x = 175,526,956,530.24
  5. Step 5: Solve for x
    x = 175,526,956,530.24/430,321.52
  6. Step 6: Final answer
    x = 407,897.23

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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.