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Finding the Fourth Proportional to 614,128.68, 921,710.61 and 259,397.28

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Solution

The fourth proportional to 614,128.68, 921,710.61 and 259,397.28 is: 389,314.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,128.68 : 921,710.61 = 259,397.28 : x
  2. Step 2: Convert to fraction form
    614,128.68/921,710.61 = 259,397.28/x
  3. Step 3: Cross multiply
    614,128.68x = 921,710.61 × 259,397.28
  4. Step 4: Simplify right side
    614,128.68x = 239,089,225,181.14
  5. Step 5: Solve for x
    x = 239,089,225,181.14/614,128.68
  6. Step 6: Final answer
    x = 389,314.54

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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.