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Finding the Fourth Proportional to 289,958,893.60, 434,938,340.40 and 160,964,384.80

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Solution

The fourth proportional to 289,958,893.60, 434,938,340.40 and 160,964,384.80 is: 241,446,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,958,893.60 : 434,938,340.40 = 160,964,384.80 : x
  2. Step 2: Convert to fraction form
    289,958,893.60/434,938,340.40 = 160,964,384.80/x
  3. Step 3: Cross multiply
    289,958,893.60x = 434,938,340.40 × 160,964,384.80
  4. Step 4: Simplify right side
    289,958,893.60x = 70,009,582,388,418,984
  5. Step 5: Solve for x
    x = 70,009,582,388,418,984/289,958,893.60
  6. Step 6: Final answer
    x = 241,446,577.20

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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.