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Finding the Fourth Proportional to 423,212, 634,855.26 and 156,975.44

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Solution

The fourth proportional to 423,212, 634,855.26 and 156,975.44 is: 235,476.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,212 : 634,855.26 = 156,975.44 : x
  2. Step 2: Convert to fraction form
    423,212/634,855.26 = 156,975.44/x
  3. Step 3: Cross multiply
    423,212x = 634,855.26 × 156,975.44
  4. Step 4: Simplify right side
    423,212x = 99,656,683,774.81
  5. Step 5: Solve for x
    x = 99,656,683,774.81/423,212
  6. Step 6: Final answer
    x = 235,476.98

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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.