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Finding the Fourth Proportional to 349,720.40, 524,580.60 and 311,666.60

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Solution

The fourth proportional to 349,720.40, 524,580.60 and 311,666.60 is: 467,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,720.40 : 524,580.60 = 311,666.60 : x
  2. Step 2: Convert to fraction form
    349,720.40/524,580.60 = 311,666.60/x
  3. Step 3: Cross multiply
    349,720.40x = 524,580.60 × 311,666.60
  4. Step 4: Simplify right side
    349,720.40x = 163,494,252,027.96
  5. Step 5: Solve for x
    x = 163,494,252,027.96/349,720.40
  6. Step 6: Final answer
    x = 467,499.90

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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.