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Finding the Fourth Proportional to 262,742,463.60, 394,113,695.40 and 256,023,999.60

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Solution

The fourth proportional to 262,742,463.60, 394,113,695.40 and 256,023,999.60 is: 384,035,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,742,463.60 : 394,113,695.40 = 256,023,999.60 : x
  2. Step 2: Convert to fraction form
    262,742,463.60/394,113,695.40 = 256,023,999.60/x
  3. Step 3: Cross multiply
    262,742,463.60x = 394,113,695.40 × 256,023,999.60
  4. Step 4: Simplify right side
    262,742,463.60x = 100,902,564,593,444,112
  5. Step 5: Solve for x
    x = 100,902,564,593,444,112/262,742,463.60
  6. Step 6: Final answer
    x = 384,035,999.40

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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.