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Finding the Fourth Proportional to 978,312.78, 1,466,781.71 and 430,945.49

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Solution

The fourth proportional to 978,312.78, 1,466,781.71 and 430,945.49 is: 646,115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,312.78 : 1,466,781.71 = 430,945.49 : x
  2. Step 2: Convert to fraction form
    978,312.78/1,466,781.71 = 430,945.49/x
  3. Step 3: Cross multiply
    978,312.78x = 1,466,781.71 × 430,945.49
  4. Step 4: Simplify right side
    978,312.78x = 632,102,964,251.22
  5. Step 5: Solve for x
    x = 632,102,964,251.22/978,312.78
  6. Step 6: Final answer
    x = 646,115.41

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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.