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Finding the Fourth Proportional to 405,139.46, 607,709.45 and 105,619.28

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Solution

The fourth proportional to 405,139.46, 607,709.45 and 105,619.28 is: 158,428.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,139.46 : 607,709.45 = 105,619.28 : x
  2. Step 2: Convert to fraction form
    405,139.46/607,709.45 = 105,619.28/x
  3. Step 3: Cross multiply
    405,139.46x = 607,709.45 × 105,619.28
  4. Step 4: Simplify right side
    405,139.46x = 64,185,831,783.70
  5. Step 5: Solve for x
    x = 64,185,831,783.70/405,139.46
  6. Step 6: Final answer
    x = 158,428.98

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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.