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Finding the Fourth Proportional to 485,662,592.40, 728,241,946.20 and 178,796,749.20

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Solution

The fourth proportional to 485,662,592.40, 728,241,946.20 and 178,796,749.20 is: 268,102,371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,662,592.40 : 728,241,946.20 = 178,796,749.20 : x
  2. Step 2: Convert to fraction form
    485,662,592.40/728,241,946.20 = 178,796,749.20/x
  3. Step 3: Cross multiply
    485,662,592.40x = 728,241,946.20 × 178,796,749.20
  4. Step 4: Simplify right side
    485,662,592.40x = 130,207,292,611,641,296
  5. Step 5: Solve for x
    x = 130,207,292,611,641,296/485,662,592.40
  6. Step 6: Final answer
    x = 268,102,371.17

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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.