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Finding the Fourth Proportional to 268,978,840.90, 403,468,261.35 and 160,139,724.10

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Solution

The fourth proportional to 268,978,840.90, 403,468,261.35 and 160,139,724.10 is: 240,209,586.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,978,840.90 : 403,468,261.35 = 160,139,724.10 : x
  2. Step 2: Convert to fraction form
    268,978,840.90/403,468,261.35 = 160,139,724.10/x
  3. Step 3: Cross multiply
    268,978,840.90x = 403,468,261.35 × 160,139,724.10
  4. Step 4: Simplify right side
    268,978,840.90x = 64,611,296,055,695,696
  5. Step 5: Solve for x
    x = 64,611,296,055,695,696/268,978,840.90
  6. Step 6: Final answer
    x = 240,209,586.15

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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.