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Finding the Fourth Proportional to 978,780,837.60, 1,468,171,256.40 and 941,157,439.20

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Solution

The fourth proportional to 978,780,837.60, 1,468,171,256.40 and 941,157,439.20 is: 1,411,736,158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,780,837.60 : 1,468,171,256.40 = 941,157,439.20 : x
  2. Step 2: Convert to fraction form
    978,780,837.60/1,468,171,256.40 = 941,157,439.20/x
  3. Step 3: Cross multiply
    978,780,837.60x = 1,468,171,256.40 × 941,157,439.20
  4. Step 4: Simplify right side
    978,780,837.60x = 1,381,780,299,980,470,784
  5. Step 5: Solve for x
    x = 1,381,780,299,980,470,784/978,780,837.60
  6. Step 6: Final answer
    x = 1,411,736,158.80

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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.