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Finding the Fourth Proportional to 386,740.85, 533,734.52 and 214,674.98

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Solution

The fourth proportional to 386,740.85, 533,734.52 and 214,674.98 is: 296,269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,740.85 : 533,734.52 = 214,674.98 : x
  2. Step 2: Convert to fraction form
    386,740.85/533,734.52 = 214,674.98/x
  3. Step 3: Cross multiply
    386,740.85x = 533,734.52 × 214,674.98
  4. Step 4: Simplify right side
    386,740.85x = 114,579,443,664.26
  5. Step 5: Solve for x
    x = 114,579,443,664.26/386,740.85
  6. Step 6: Final answer
    x = 296,269.31

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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.