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Finding the Fourth Proportional to 538,102.04, 742,580.78 and 311,878.76

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Solution

The fourth proportional to 538,102.04, 742,580.78 and 311,878.76 is: 430,392.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,102.04 : 742,580.78 = 311,878.76 : x
  2. Step 2: Convert to fraction form
    538,102.04/742,580.78 = 311,878.76/x
  3. Step 3: Cross multiply
    538,102.04x = 742,580.78 × 311,878.76
  4. Step 4: Simplify right side
    538,102.04x = 231,595,172,866.23
  5. Step 5: Solve for x
    x = 231,595,172,866.23/538,102.04
  6. Step 6: Final answer
    x = 430,392.67

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1.5x scale

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.