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Finding the Fourth Proportional to 405,269.58, 607,904.64 and 105,749.40

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Solution

The fourth proportional to 405,269.58, 607,904.64 and 105,749.40 is: 158,624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,269.58 : 607,904.64 = 105,749.40 : x
  2. Step 2: Convert to fraction form
    405,269.58/607,904.64 = 105,749.40/x
  3. Step 3: Cross multiply
    405,269.58x = 607,904.64 × 105,749.40
  4. Step 4: Simplify right side
    405,269.58x = 64,285,550,937.22
  5. Step 5: Solve for x
    x = 64,285,550,937.22/405,269.58
  6. Step 6: Final answer
    x = 158,624.17

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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.