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Finding the Fourth Proportional to 520,880, 718,814.40 and 282,416

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Solution

The fourth proportional to 520,880, 718,814.40 and 282,416 is: 389,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,880 : 718,814.40 = 282,416 : x
  2. Step 2: Convert to fraction form
    520,880/718,814.40 = 282,416/x
  3. Step 3: Cross multiply
    520,880x = 718,814.40 × 282,416
  4. Step 4: Simplify right side
    520,880x = 203,004,687,590.40
  5. Step 5: Solve for x
    x = 203,004,687,590.40/520,880
  6. Step 6: Final answer
    x = 389,734.08

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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.