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Finding the Fourth Proportional to 978,718,172.32, 1,350,642,118.44 and 532,684,391.14

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Solution

The fourth proportional to 978,718,172.32, 1,350,642,118.44 and 532,684,391.14 is: 735,110,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,718,172.32 : 1,350,642,118.44 = 532,684,391.14 : x
  2. Step 2: Convert to fraction form
    978,718,172.32/1,350,642,118.44 = 532,684,391.14/x
  3. Step 3: Cross multiply
    978,718,172.32x = 1,350,642,118.44 × 532,684,391.14
  4. Step 4: Simplify right side
    978,718,172.32x = 719,465,974,509,251,200
  5. Step 5: Solve for x
    x = 719,465,974,509,251,200/978,718,172.32
  6. Step 6: Final answer
    x = 735,110,468.83

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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.