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Finding the Fourth Proportional to 567,872.72, 783,673.70 and 309,749.65

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Solution

The fourth proportional to 567,872.72, 783,673.70 and 309,749.65 is: 427,459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,872.72 : 783,673.70 = 309,749.65 : x
  2. Step 2: Convert to fraction form
    567,872.72/783,673.70 = 309,749.65/x
  3. Step 3: Cross multiply
    567,872.72x = 783,673.70 × 309,749.65
  4. Step 4: Simplify right side
    567,872.72x = 242,742,656,931.78
  5. Step 5: Solve for x
    x = 242,742,656,931.78/567,872.72
  6. Step 6: Final answer
    x = 427,459.62

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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.