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Finding the Fourth Proportional to 430,737.82, 646,176.69 and 146,453.74

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Solution

The fourth proportional to 430,737.82, 646,176.69 and 146,453.74 is: 219,704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,737.82 : 646,176.69 = 146,453.74 : x
  2. Step 2: Convert to fraction form
    430,737.82/646,176.69 = 146,453.74/x
  3. Step 3: Cross multiply
    430,737.82x = 646,176.69 × 146,453.74
  4. Step 4: Simplify right side
    430,737.82x = 94,634,991,335.88
  5. Step 5: Solve for x
    x = 94,634,991,335.88/430,737.82
  6. Step 6: Final answer
    x = 219,704.39

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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.