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Finding the Fourth Proportional to 708,589,978.20, 1,062,884,967.30 and 320,425,471.80

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Solution

The fourth proportional to 708,589,978.20, 1,062,884,967.30 and 320,425,471.80 is: 480,638,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,589,978.20 : 1,062,884,967.30 = 320,425,471.80 : x
  2. Step 2: Convert to fraction form
    708,589,978.20/1,062,884,967.30 = 320,425,471.80/x
  3. Step 3: Cross multiply
    708,589,978.20x = 1,062,884,967.30 × 320,425,471.80
  4. Step 4: Simplify right side
    708,589,978.20x = 340,575,417,116,230,080
  5. Step 5: Solve for x
    x = 340,575,417,116,230,080/708,589,978.20
  6. Step 6: Final answer
    x = 480,638,207.70

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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.