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Finding the Fourth Proportional to 507,978.93, 761,491.53 and 170,783.86

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Solution

The fourth proportional to 507,978.93, 761,491.53 and 170,783.86 is: 256,015.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,978.93 : 761,491.53 = 170,783.86 : x
  2. Step 2: Convert to fraction form
    507,978.93/761,491.53 = 170,783.86/x
  3. Step 3: Cross multiply
    507,978.93x = 761,491.53 × 170,783.86
  4. Step 4: Simplify right side
    507,978.93x = 130,050,459,162.23
  5. Step 5: Solve for x
    x = 130,050,459,162.23/507,978.93
  6. Step 6: Final answer
    x = 256,015.46

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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.