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Finding the Fourth Proportional to 703,681, 971,074.32 and 381,382.84

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Solution

The fourth proportional to 703,681, 971,074.32 and 381,382.84 is: 526,305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,681 : 971,074.32 = 381,382.84 : x
  2. Step 2: Convert to fraction form
    703,681/971,074.32 = 381,382.84/x
  3. Step 3: Cross multiply
    703,681x = 971,074.32 × 381,382.84
  4. Step 4: Simplify right side
    703,681x = 370,351,082,012.67
  5. Step 5: Solve for x
    x = 370,351,082,012.67/703,681
  6. Step 6: Final answer
    x = 526,305.36

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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.