Home / 280,320.74-420,536.50-102,829.40

Finding the Fourth Proportional to 280,320.74, 420,536.50 and 102,829.40

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Solution

The fourth proportional to 280,320.74, 420,536.50 and 102,829.40 is: 154,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,320.74 : 420,536.50 = 102,829.40 : x
  2. Step 2: Convert to fraction form
    280,320.74/420,536.50 = 102,829.40/x
  3. Step 3: Cross multiply
    280,320.74x = 420,536.50 × 102,829.40
  4. Step 4: Simplify right side
    280,320.74x = 43,243,515,973.10
  5. Step 5: Solve for x
    x = 43,243,515,973.10/280,320.74
  6. Step 6: Final answer
    x = 154,264.42

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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.