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Finding the Fourth Proportional to 711,707, 982,168.14 and 389,445.32

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Solution

The fourth proportional to 711,707, 982,168.14 and 389,445.32 is: 537,441.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,707 : 982,168.14 = 389,445.32 : x
  2. Step 2: Convert to fraction form
    711,707/982,168.14 = 389,445.32/x
  3. Step 3: Cross multiply
    711,707x = 982,168.14 × 389,445.32
  4. Step 4: Simplify right side
    711,707x = 382,500,785,576.11
  5. Step 5: Solve for x
    x = 382,500,785,576.11/711,707
  6. Step 6: Final answer
    x = 537,441.37

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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.