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Finding the Fourth Proportional to 370,278.10, 510,985.65 and 200,512.90

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Solution

The fourth proportional to 370,278.10, 510,985.65 and 200,512.90 is: 276,708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,278.10 : 510,985.65 = 200,512.90 : x
  2. Step 2: Convert to fraction form
    370,278.10/510,985.65 = 200,512.90/x
  3. Step 3: Cross multiply
    370,278.10x = 510,985.65 × 200,512.90
  4. Step 4: Simplify right side
    370,278.10x = 102,459,214,539.89
  5. Step 5: Solve for x
    x = 102,459,214,539.89/370,278.10
  6. Step 6: Final answer
    x = 276,708.82

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1.5x scale

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.