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Finding the Fourth Proportional to 507,978.48, 761,812.16 and 351,214.32

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Solution

The fourth proportional to 507,978.48, 761,812.16 and 351,214.32 is: 526,713.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,978.48 : 761,812.16 = 351,214.32 : x
  2. Step 2: Convert to fraction form
    507,978.48/761,812.16 = 351,214.32/x
  3. Step 3: Cross multiply
    507,978.48x = 761,812.16 × 351,214.32
  4. Step 4: Simplify right side
    507,978.48x = 267,559,339,742.13
  5. Step 5: Solve for x
    x = 267,559,339,742.13/507,978.48
  6. Step 6: Final answer
    x = 526,713.93

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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.