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Finding the Fourth Proportional to 553,622.72, 764,001.86 and 311,909.00

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Solution

The fourth proportional to 553,622.72, 764,001.86 and 311,909.00 is: 430,435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,622.72 : 764,001.86 = 311,909.00 : x
  2. Step 2: Convert to fraction form
    553,622.72/764,001.86 = 311,909.00/x
  3. Step 3: Cross multiply
    553,622.72x = 764,001.86 × 311,909.00
  4. Step 4: Simplify right side
    553,622.72x = 238,299,050,771.19
  5. Step 5: Solve for x
    x = 238,299,050,771.19/553,622.72
  6. Step 6: Final answer
    x = 430,435.83

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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.