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Finding the Fourth Proportional to 430,803.88, 646,159.74 and 150,326.44

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Solution

The fourth proportional to 430,803.88, 646,159.74 and 150,326.44 is: 225,473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,803.88 : 646,159.74 = 150,326.44 : x
  2. Step 2: Convert to fraction form
    430,803.88/646,159.74 = 150,326.44/x
  3. Step 3: Cross multiply
    430,803.88x = 646,159.74 × 150,326.44
  4. Step 4: Simplify right side
    430,803.88x = 97,134,893,385.53
  5. Step 5: Solve for x
    x = 97,134,893,385.53/430,803.88
  6. Step 6: Final answer
    x = 225,473.58

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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.