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Finding the Fourth Proportional to 567,491.22, 783,132.72 and 312,842.40

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Solution

The fourth proportional to 567,491.22, 783,132.72 and 312,842.40 is: 431,719.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,491.22 : 783,132.72 = 312,842.40 : x
  2. Step 2: Convert to fraction form
    567,491.22/783,132.72 = 312,842.40/x
  3. Step 3: Cross multiply
    567,491.22x = 783,132.72 × 312,842.40
  4. Step 4: Simplify right side
    567,491.22x = 244,997,119,643.33
  5. Step 5: Solve for x
    x = 244,997,119,643.33/567,491.22
  6. Step 6: Final answer
    x = 431,719.67

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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.