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Finding the Fourth Proportional to 468,353.19, 646,343.05 and 287,030.09

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Solution

The fourth proportional to 468,353.19, 646,343.05 and 287,030.09 is: 396,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,353.19 : 646,343.05 = 287,030.09 : x
  2. Step 2: Convert to fraction form
    468,353.19/646,343.05 = 287,030.09/x
  3. Step 3: Cross multiply
    468,353.19x = 646,343.05 × 287,030.09
  4. Step 4: Simplify right side
    468,353.19x = 185,519,899,593.99
  5. Step 5: Solve for x
    x = 185,519,899,593.99/468,353.19
  6. Step 6: Final answer
    x = 396,111.10

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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.