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Finding the Fourth Proportional to 369,187, 509,478.26 and 199,421.13

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Solution

The fourth proportional to 369,187, 509,478.26 and 199,421.13 is: 275,201.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,187 : 509,478.26 = 199,421.13 : x
  2. Step 2: Convert to fraction form
    369,187/509,478.26 = 199,421.13/x
  3. Step 3: Cross multiply
    369,187x = 509,478.26 × 199,421.13
  4. Step 4: Simplify right side
    369,187x = 101,600,730,319.63
  5. Step 5: Solve for x
    x = 101,600,730,319.63/369,187
  6. Step 6: Final answer
    x = 275,201.27

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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.