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Finding the Fourth Proportional to 325,638.10, 488,457.15 and 311,814.10

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Solution

The fourth proportional to 325,638.10, 488,457.15 and 311,814.10 is: 467,721.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,638.10 : 488,457.15 = 311,814.10 : x
  2. Step 2: Convert to fraction form
    325,638.10/488,457.15 = 311,814.10/x
  3. Step 3: Cross multiply
    325,638.10x = 488,457.15 × 311,814.10
  4. Step 4: Simplify right side
    325,638.10x = 152,307,826,615.82
  5. Step 5: Solve for x
    x = 152,307,826,615.82/325,638.10
  6. Step 6: Final answer
    x = 467,721.15

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1.5x scale

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.