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Finding the Fourth Proportional to 978,272.80, 1,467,409.20 and 645,848.80

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Solution

The fourth proportional to 978,272.80, 1,467,409.20 and 645,848.80 is: 968,773.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,272.80 : 1,467,409.20 = 645,848.80 : x
  2. Step 2: Convert to fraction form
    978,272.80/1,467,409.20 = 645,848.80/x
  3. Step 3: Cross multiply
    978,272.80x = 1,467,409.20 × 645,848.80
  4. Step 4: Simplify right side
    978,272.80x = 947,724,470,928.96
  5. Step 5: Solve for x
    x = 947,724,470,928.96/978,272.80
  6. Step 6: Final answer
    x = 968,773.20

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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.