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Finding the Fourth Proportional to 538,124.50, 742,611.81 and 311,901.22

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Solution

The fourth proportional to 538,124.50, 742,611.81 and 311,901.22 is: 430,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,124.50 : 742,611.81 = 311,901.22 : x
  2. Step 2: Convert to fraction form
    538,124.50/742,611.81 = 311,901.22/x
  3. Step 3: Cross multiply
    538,124.50x = 742,611.81 × 311,901.22
  4. Step 4: Simplify right side
    538,124.50x = 231,621,529,525.41
  5. Step 5: Solve for x
    x = 231,621,529,525.41/538,124.50
  6. Step 6: Final answer
    x = 430,423.68

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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.