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Finding the Fourth Proportional to 978,246.30, 1,467,369.45 and 645,822.30

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Solution

The fourth proportional to 978,246.30, 1,467,369.45 and 645,822.30 is: 968,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,246.30 : 1,467,369.45 = 645,822.30 : x
  2. Step 2: Convert to fraction form
    978,246.30/1,467,369.45 = 645,822.30/x
  3. Step 3: Cross multiply
    978,246.30x = 1,467,369.45 × 645,822.30
  4. Step 4: Simplify right side
    978,246.30x = 947,659,913,148.74
  5. Step 5: Solve for x
    x = 947,659,913,148.74/978,246.30
  6. Step 6: Final answer
    x = 968,733.45

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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.