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Finding the Fourth Proportional to 561,980.78, 775,539.60 and 307,326.50

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Solution

The fourth proportional to 561,980.78, 775,539.60 and 307,326.50 is: 424,113.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,980.78 : 775,539.60 = 307,326.50 : x
  2. Step 2: Convert to fraction form
    561,980.78/775,539.60 = 307,326.50/x
  3. Step 3: Cross multiply
    561,980.78x = 775,539.60 × 307,326.50
  4. Step 4: Simplify right side
    561,980.78x = 238,343,870,879.40
  5. Step 5: Solve for x
    x = 238,343,870,879.40/561,980.78
  6. Step 6: Final answer
    x = 424,113.92

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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.