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Finding the Fourth Proportional to 470,061.82, 703,533.48 and 428,039.02

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Solution

The fourth proportional to 470,061.82, 703,533.48 and 428,039.02 is: 640,638.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,061.82 : 703,533.48 = 428,039.02 : x
  2. Step 2: Convert to fraction form
    470,061.82/703,533.48 = 428,039.02/x
  3. Step 3: Cross multiply
    470,061.82x = 703,533.48 × 428,039.02
  4. Step 4: Simplify right side
    470,061.82x = 301,139,781,316.39
  5. Step 5: Solve for x
    x = 301,139,781,316.39/470,061.82
  6. Step 6: Final answer
    x = 640,638.67

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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.