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Finding the Fourth Proportional to 509,128.88, 702,585.60 and 282,774.56

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Solution

The fourth proportional to 509,128.88, 702,585.60 and 282,774.56 is: 390,222.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,128.88 : 702,585.60 = 282,774.56 : x
  2. Step 2: Convert to fraction form
    509,128.88/702,585.60 = 282,774.56/x
  3. Step 3: Cross multiply
    509,128.88x = 702,585.60 × 282,774.56
  4. Step 4: Simplify right side
    509,128.88x = 198,673,333,902.34
  5. Step 5: Solve for x
    x = 198,673,333,902.34/509,128.88
  6. Step 6: Final answer
    x = 390,222.09

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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.