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Finding the Fourth Proportional to 684,855, 945,103.14 and 383,049

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Solution

The fourth proportional to 684,855, 945,103.14 and 383,049 is: 528,609.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,855 : 945,103.14 = 383,049 : x
  2. Step 2: Convert to fraction form
    684,855/945,103.14 = 383,049/x
  3. Step 3: Cross multiply
    684,855x = 945,103.14 × 383,049
  4. Step 4: Simplify right side
    684,855x = 362,020,812,673.86
  5. Step 5: Solve for x
    x = 362,020,812,673.86/684,855
  6. Step 6: Final answer
    x = 528,609.43

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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.