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Finding the Fourth Proportional to 308,409,602.60, 462,615,978 and 103,939,449.32

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Solution

The fourth proportional to 308,409,602.60, 462,615,978 and 103,939,449.32 is: 155,909,704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,409,602.60 : 462,615,978 = 103,939,449.32 : x
  2. Step 2: Convert to fraction form
    308,409,602.60/462,615,978 = 103,939,449.32/x
  3. Step 3: Cross multiply
    308,409,602.60x = 462,615,978 × 103,939,449.32
  4. Step 4: Simplify right side
    308,409,602.60x = 48,084,049,999,953,232
  5. Step 5: Solve for x
    x = 48,084,049,999,953,232/308,409,602.60
  6. Step 6: Final answer
    x = 155,909,704.48

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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.