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Finding the Fourth Proportional to 645,647, 890,950.74 and 359,156.84

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Solution

The fourth proportional to 645,647, 890,950.74 and 359,156.84 is: 495,613.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,647 : 890,950.74 = 359,156.84 : x
  2. Step 2: Convert to fraction form
    645,647/890,950.74 = 359,156.84/x
  3. Step 3: Cross multiply
    645,647x = 890,950.74 × 359,156.84
  4. Step 4: Simplify right side
    645,647x = 319,991,052,374.06
  5. Step 5: Solve for x
    x = 319,991,052,374.06/645,647
  6. Step 6: Final answer
    x = 495,613.01

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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.