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Finding the Fourth Proportional to 509,256.79, 702,835.47 and 305,419.85

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Solution

The fourth proportional to 509,256.79, 702,835.47 and 305,419.85 is: 421,516.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,256.79 : 702,835.47 = 305,419.85 : x
  2. Step 2: Convert to fraction form
    509,256.79/702,835.47 = 305,419.85/x
  3. Step 3: Cross multiply
    509,256.79x = 702,835.47 × 305,419.85
  4. Step 4: Simplify right side
    509,256.79x = 214,659,903,822.08
  5. Step 5: Solve for x
    x = 214,659,903,822.08/509,256.79
  6. Step 6: Final answer
    x = 421,516.04

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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.