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Finding the Fourth Proportional to 275,437.50, 413,225.37 and 78,445.50

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Solution

The fourth proportional to 275,437.50, 413,225.37 and 78,445.50 is: 117,687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,437.50 : 413,225.37 = 78,445.50 : x
  2. Step 2: Convert to fraction form
    275,437.50/413,225.37 = 78,445.50/x
  3. Step 3: Cross multiply
    275,437.50x = 413,225.37 × 78,445.50
  4. Step 4: Simplify right side
    275,437.50x = 32,415,670,762.34
  5. Step 5: Solve for x
    x = 32,415,670,762.34/275,437.50
  6. Step 6: Final answer
    x = 117,687.94

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1.5x scale

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.