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Finding the Fourth Proportional to 379,030.41, 523,068.71 and 209,254.41

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Solution

The fourth proportional to 379,030.41, 523,068.71 and 209,254.41 is: 288,774.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,030.41 : 523,068.71 = 209,254.41 : x
  2. Step 2: Convert to fraction form
    379,030.41/523,068.71 = 209,254.41/x
  3. Step 3: Cross multiply
    379,030.41x = 523,068.71 × 209,254.41
  4. Step 4: Simplify right side
    379,030.41x = 109,454,433,254.24
  5. Step 5: Solve for x
    x = 109,454,433,254.24/379,030.41
  6. Step 6: Final answer
    x = 288,774.81

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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.