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Finding the Fourth Proportional to 978,961,075.76, 1,350,924,906.12 and 532,915,154.48

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Solution

The fourth proportional to 978,961,075.76, 1,350,924,906.12 and 532,915,154.48 is: 735,400,388.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,961,075.76 : 1,350,924,906.12 = 532,915,154.48 : x
  2. Step 2: Convert to fraction form
    978,961,075.76/1,350,924,906.12 = 532,915,154.48/x
  3. Step 3: Cross multiply
    978,961,075.76x = 1,350,924,906.12 × 532,915,154.48
  4. Step 4: Simplify right side
    978,961,075.76x = 719,928,355,035,819,264
  5. Step 5: Solve for x
    x = 719,928,355,035,819,264/978,961,075.76
  6. Step 6: Final answer
    x = 735,400,388.09

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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.