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Finding the Fourth Proportional to 369,364.89, 509,692.98 and 208,259.55

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Solution

The fourth proportional to 369,364.89, 509,692.98 and 208,259.55 is: 287,380.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,364.89 : 509,692.98 = 208,259.55 : x
  2. Step 2: Convert to fraction form
    369,364.89/509,692.98 = 208,259.55/x
  3. Step 3: Cross multiply
    369,364.89x = 509,692.98 × 208,259.55
  4. Step 4: Simplify right side
    369,364.89x = 106,148,430,652.96
  5. Step 5: Solve for x
    x = 106,148,430,652.96/369,364.89
  6. Step 6: Final answer
    x = 287,380.94

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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.