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Finding the Fourth Proportional to 507,957.98, 761,978.46 and 255,108.42

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Solution

The fourth proportional to 507,957.98, 761,978.46 and 255,108.42 is: 382,683.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,957.98 : 761,978.46 = 255,108.42 : x
  2. Step 2: Convert to fraction form
    507,957.98/761,978.46 = 255,108.42/x
  3. Step 3: Cross multiply
    507,957.98x = 761,978.46 × 255,108.42
  4. Step 4: Simplify right side
    507,957.98x = 194,387,121,004.63
  5. Step 5: Solve for x
    x = 194,387,121,004.63/507,957.98
  6. Step 6: Final answer
    x = 382,683.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.