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Finding the Fourth Proportional to 978,828,573.98, 1,350,819,072.16 and 532,770,377.60

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Solution

The fourth proportional to 978,828,573.98, 1,350,819,072.16 and 532,770,377.60 is: 735,242,519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,828,573.98 : 1,350,819,072.16 = 532,770,377.60 : x
  2. Step 2: Convert to fraction form
    978,828,573.98/1,350,819,072.16 = 532,770,377.60/x
  3. Step 3: Cross multiply
    978,828,573.98x = 1,350,819,072.16 × 532,770,377.60
  4. Step 4: Simplify right side
    978,828,573.98x = 719,676,387,135,878,912
  5. Step 5: Solve for x
    x = 719,676,387,135,878,912/978,828,573.98
  6. Step 6: Final answer
    x = 735,242,519.75

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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.