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Finding the Fourth Proportional to 851,309,280.96, 1,174,706,978.40 and 480,009,186.24

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Solution

The fourth proportional to 851,309,280.96, 1,174,706,978.40 and 480,009,186.24 is: 662,356,388.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,309,280.96 : 1,174,706,978.40 = 480,009,186.24 : x
  2. Step 2: Convert to fraction form
    851,309,280.96/1,174,706,978.40 = 480,009,186.24/x
  3. Step 3: Cross multiply
    851,309,280.96x = 1,174,706,978.40 × 480,009,186.24
  4. Step 4: Simplify right side
    851,309,280.96x = 563,870,140,772,233,344
  5. Step 5: Solve for x
    x = 563,870,140,772,233,344/851,309,280.96
  6. Step 6: Final answer
    x = 662,356,388.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.