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Finding the Fourth Proportional to 505,492.07, 758,529.43 and 280,833.53

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Solution

The fourth proportional to 505,492.07, 758,529.43 and 280,833.53 is: 421,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,492.07 : 758,529.43 = 280,833.53 : x
  2. Step 2: Convert to fraction form
    505,492.07/758,529.43 = 280,833.53/x
  3. Step 3: Cross multiply
    505,492.07x = 758,529.43 × 280,833.53
  4. Step 4: Simplify right side
    505,492.07x = 213,020,492,941.06
  5. Step 5: Solve for x
    x = 213,020,492,941.06/505,492.07
  6. Step 6: Final answer
    x = 421,412.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.