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Finding the Fourth Proportional to 709,219.19, 978,749.93 and 403,323.50

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Solution

The fourth proportional to 709,219.19, 978,749.93 and 403,323.50 is: 556,602.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,219.19 : 978,749.93 = 403,323.50 : x
  2. Step 2: Convert to fraction form
    709,219.19/978,749.93 = 403,323.50/x
  3. Step 3: Cross multiply
    709,219.19x = 978,749.93 × 403,323.50
  4. Step 4: Simplify right side
    709,219.19x = 394,752,850,847.54
  5. Step 5: Solve for x
    x = 394,752,850,847.54/709,219.19
  6. Step 6: Final answer
    x = 556,602.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.