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Finding the Fourth Proportional to 998,590,503.40, 1,494,966,126.30 and 711,936,039.40

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Solution

The fourth proportional to 998,590,503.40, 1,494,966,126.30 and 711,936,039.40 is: 1,065,822,536.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,590,503.40 : 1,494,966,126.30 = 711,936,039.40 : x
  2. Step 2: Convert to fraction form
    998,590,503.40/1,494,966,126.30 = 711,936,039.40/x
  3. Step 3: Cross multiply
    998,590,503.40x = 1,494,966,126.30 × 711,936,039.40
  4. Step 4: Simplify right side
    998,590,503.40x = 1,064,320,262,995,182,080
  5. Step 5: Solve for x
    x = 1,064,320,262,995,182,080/998,590,503.40
  6. Step 6: Final answer
    x = 1,065,822,536.24

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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.