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Finding the Fourth Proportional to 405,302.58, 607,989.51 and 105,780.78

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Solution

The fourth proportional to 405,302.58, 607,989.51 and 105,780.78 is: 158,680.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,302.58 : 607,989.51 = 105,780.78 : x
  2. Step 2: Convert to fraction form
    405,302.58/607,989.51 = 105,780.78/x
  3. Step 3: Cross multiply
    405,302.58x = 607,989.51 × 105,780.78
  4. Step 4: Simplify right side
    405,302.58x = 64,313,604,599.62
  5. Step 5: Solve for x
    x = 64,313,604,599.62/405,302.58
  6. Step 6: Final answer
    x = 158,680.47

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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.