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Finding the Fourth Proportional to 538,132.50, 742,622.85 and 311,909.22

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Solution

The fourth proportional to 538,132.50, 742,622.85 and 311,909.22 is: 430,434.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,132.50 : 742,622.85 = 311,909.22 : x
  2. Step 2: Convert to fraction form
    538,132.50/742,622.85 = 311,909.22/x
  3. Step 3: Cross multiply
    538,132.50x = 742,622.85 × 311,909.22
  4. Step 4: Simplify right side
    538,132.50x = 231,630,913,897.68
  5. Step 5: Solve for x
    x = 231,630,913,897.68/538,132.50
  6. Step 6: Final answer
    x = 430,434.72

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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.