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Finding the Fourth Proportional to 464,432.10, 640,430.48 and 343,826.34

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Solution

The fourth proportional to 464,432.10, 640,430.48 and 343,826.34 is: 474,120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,432.10 : 640,430.48 = 343,826.34 : x
  2. Step 2: Convert to fraction form
    464,432.10/640,430.48 = 343,826.34/x
  3. Step 3: Cross multiply
    464,432.10x = 640,430.48 × 343,826.34
  4. Step 4: Simplify right side
    464,432.10x = 220,196,867,962.84
  5. Step 5: Solve for x
    x = 220,196,867,962.84/464,432.10
  6. Step 6: Final answer
    x = 474,120.69

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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.