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Finding the Fourth Proportional to 509,133.07, 702,580.90 and 305,296.47

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Solution

The fourth proportional to 509,133.07, 702,580.90 and 305,296.47 is: 421,295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,133.07 : 702,580.90 = 305,296.47 : x
  2. Step 2: Convert to fraction form
    509,133.07/702,580.90 = 305,296.47/x
  3. Step 3: Cross multiply
    509,133.07x = 702,580.90 × 305,296.47
  4. Step 4: Simplify right side
    509,133.07x = 214,495,468,659.42
  5. Step 5: Solve for x
    x = 214,495,468,659.42/509,133.07
  6. Step 6: Final answer
    x = 421,295.49

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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.