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Finding the Fourth Proportional to 280,365.84, 420,298.68 and 102,831.44

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Solution

The fourth proportional to 280,365.84, 420,298.68 and 102,831.44 is: 154,155.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,365.84 : 420,298.68 = 102,831.44 : x
  2. Step 2: Convert to fraction form
    280,365.84/420,298.68 = 102,831.44/x
  3. Step 3: Cross multiply
    280,365.84x = 420,298.68 × 102,831.44
  4. Step 4: Simplify right side
    280,365.84x = 43,219,918,494.50
  5. Step 5: Solve for x
    x = 43,219,918,494.50/280,365.84
  6. Step 6: Final answer
    x = 154,155.44

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1.5x scale

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.