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Finding the Fourth Proportional to 507,287.06, 700,042.31 and 289,491.78

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Solution

The fourth proportional to 507,287.06, 700,042.31 and 289,491.78 is: 399,490.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,287.06 : 700,042.31 = 289,491.78 : x
  2. Step 2: Convert to fraction form
    507,287.06/700,042.31 = 289,491.78/x
  3. Step 3: Cross multiply
    507,287.06x = 700,042.31 × 289,491.78
  4. Step 4: Simplify right side
    507,287.06x = 202,656,490,897.00
  5. Step 5: Solve for x
    x = 202,656,490,897.00/507,287.06
  6. Step 6: Final answer
    x = 399,490.76

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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.