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Finding the Fourth Proportional to 567,781.06, 783,538.64 and 309,658.63

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Solution

The fourth proportional to 567,781.06, 783,538.64 and 309,658.63 is: 427,329.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,781.06 : 783,538.64 = 309,658.63 : x
  2. Step 2: Convert to fraction form
    567,781.06/783,538.64 = 309,658.63/x
  3. Step 3: Cross multiply
    567,781.06x = 783,538.64 × 309,658.63
  4. Step 4: Simplify right side
    567,781.06x = 242,629,501,814.46
  5. Step 5: Solve for x
    x = 242,629,501,814.46/567,781.06
  6. Step 6: Final answer
    x = 427,329.33

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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.