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Finding the Fourth Proportional to 978,382.10, 1,467,718.95 and 347,243.06

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Solution

The fourth proportional to 978,382.10, 1,467,718.95 and 347,243.06 is: 520,916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,382.10 : 1,467,718.95 = 347,243.06 : x
  2. Step 2: Convert to fraction form
    978,382.10/1,467,718.95 = 347,243.06/x
  3. Step 3: Cross multiply
    978,382.10x = 1,467,718.95 × 347,243.06
  4. Step 4: Simplify right side
    978,382.10x = 509,655,219,417.99
  5. Step 5: Solve for x
    x = 509,655,219,417.99/978,382.10
  6. Step 6: Final answer
    x = 520,916.34

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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.