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Finding the Fourth Proportional to 514,891,411.20, 772,374,441.60 and 309,978,259.20

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Solution

The fourth proportional to 514,891,411.20, 772,374,441.60 and 309,978,259.20 is: 464,989,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,891,411.20 : 772,374,441.60 = 309,978,259.20 : x
  2. Step 2: Convert to fraction form
    514,891,411.20/772,374,441.60 = 309,978,259.20/x
  3. Step 3: Cross multiply
    514,891,411.20x = 772,374,441.60 × 309,978,259.20
  4. Step 4: Simplify right side
    514,891,411.20x = 239,419,284,857,740,064
  5. Step 5: Solve for x
    x = 239,419,284,857,740,064/514,891,411.20
  6. Step 6: Final answer
    x = 464,989,859.32

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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.