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Finding the Fourth Proportional to 254,779.16, 382,223.70 and 77,300.46

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Solution

The fourth proportional to 254,779.16, 382,223.70 and 77,300.46 is: 115,967.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,779.16 : 382,223.70 = 77,300.46 : x
  2. Step 2: Convert to fraction form
    254,779.16/382,223.70 = 77,300.46/x
  3. Step 3: Cross multiply
    254,779.16x = 382,223.70 × 77,300.46
  4. Step 4: Simplify right side
    254,779.16x = 29,546,067,832.90
  5. Step 5: Solve for x
    x = 29,546,067,832.90/254,779.16
  6. Step 6: Final answer
    x = 115,967.37

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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.