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Finding the Fourth Proportional to 370,256.46, 510,955.50 and 209,113.44

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Solution

The fourth proportional to 370,256.46, 510,955.50 and 209,113.44 is: 288,577.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,256.46 : 510,955.50 = 209,113.44 : x
  2. Step 2: Convert to fraction form
    370,256.46/510,955.50 = 209,113.44/x
  3. Step 3: Cross multiply
    370,256.46x = 510,955.50 × 209,113.44
  4. Step 4: Simplify right side
    370,256.46x = 106,847,662,291.92
  5. Step 5: Solve for x
    x = 106,847,662,291.92/370,256.46
  6. Step 6: Final answer
    x = 288,577.44

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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.