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Finding the Fourth Proportional to 711,813.42, 982,302.64 and 389,523.60

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Solution

The fourth proportional to 711,813.42, 982,302.64 and 389,523.60 is: 537,542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,813.42 : 982,302.64 = 389,523.60 : x
  2. Step 2: Convert to fraction form
    711,813.42/982,302.64 = 389,523.60/x
  3. Step 3: Cross multiply
    711,813.42x = 982,302.64 × 389,523.60
  4. Step 4: Simplify right side
    711,813.42x = 382,630,060,622.30
  5. Step 5: Solve for x
    x = 382,630,060,622.30/711,813.42
  6. Step 6: Final answer
    x = 537,542.63

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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.