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Finding the Fourth Proportional to 519,164, 716,446.32 and 280,700

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Solution

The fourth proportional to 519,164, 716,446.32 and 280,700 is: 387,366

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,164 : 716,446.32 = 280,700 : x
  2. Step 2: Convert to fraction form
    519,164/716,446.32 = 280,700/x
  3. Step 3: Cross multiply
    519,164x = 716,446.32 × 280,700
  4. Step 4: Simplify right side
    519,164x = 201,106,482,024
  5. Step 5: Solve for x
    x = 201,106,482,024/519,164
  6. Step 6: Final answer
    x = 387,366

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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.