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Finding the Fourth Proportional to 470,749.64, 705,858.62 and 430,580.18

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Solution

The fourth proportional to 470,749.64, 705,858.62 and 430,580.18 is: 645,627.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,749.64 : 705,858.62 = 430,580.18 : x
  2. Step 2: Convert to fraction form
    470,749.64/705,858.62 = 430,580.18/x
  3. Step 3: Cross multiply
    470,749.64x = 705,858.62 × 430,580.18
  4. Step 4: Simplify right side
    470,749.64x = 303,928,731,654.15
  5. Step 5: Solve for x
    x = 303,928,731,654.15/470,749.64
  6. Step 6: Final answer
    x = 645,627.11

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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.