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Finding the Fourth Proportional to 405,195.75, 607,817.40 and 152,478.39

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Solution

The fourth proportional to 405,195.75, 607,817.40 and 152,478.39 is: 228,726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,195.75 : 607,817.40 = 152,478.39 : x
  2. Step 2: Convert to fraction form
    405,195.75/607,817.40 = 152,478.39/x
  3. Step 3: Cross multiply
    405,195.75x = 607,817.40 × 152,478.39
  4. Step 4: Simplify right side
    405,195.75x = 92,679,018,565.99
  5. Step 5: Solve for x
    x = 92,679,018,565.99/405,195.75
  6. Step 6: Final answer
    x = 228,726.53

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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.