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Finding the Fourth Proportional to 430,309.51, 644,873.78 and 272,255.02

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Solution

The fourth proportional to 430,309.51, 644,873.78 and 272,255.02 is: 408,008.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,309.51 : 644,873.78 = 272,255.02 : x
  2. Step 2: Convert to fraction form
    430,309.51/644,873.78 = 272,255.02/x
  3. Step 3: Cross multiply
    430,309.51x = 644,873.78 × 272,255.02
  4. Step 4: Simplify right side
    430,309.51x = 175,570,125,801.53
  5. Step 5: Solve for x
    x = 175,570,125,801.53/430,309.51
  6. Step 6: Final answer
    x = 408,008.93

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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.