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Finding the Fourth Proportional to 507,470.74, 761,114.10 and 203,852.68

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Solution

The fourth proportional to 507,470.74, 761,114.10 and 203,852.68 is: 305,742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,470.74 : 761,114.10 = 203,852.68 : x
  2. Step 2: Convert to fraction form
    507,470.74/761,114.10 = 203,852.68/x
  3. Step 3: Cross multiply
    507,470.74x = 761,114.10 × 203,852.68
  4. Step 4: Simplify right side
    507,470.74x = 155,155,149,070.79
  5. Step 5: Solve for x
    x = 155,155,149,070.79/507,470.74
  6. Step 6: Final answer
    x = 305,742.06

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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.