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Finding the Fourth Proportional to 553,884.21, 830,494.14 and 253,989.12

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Solution

The fourth proportional to 553,884.21, 830,494.14 and 253,989.12 is: 380,831.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,884.21 : 830,494.14 = 253,989.12 : x
  2. Step 2: Convert to fraction form
    553,884.21/830,494.14 = 253,989.12/x
  3. Step 3: Cross multiply
    553,884.21x = 830,494.14 × 253,989.12
  4. Step 4: Simplify right side
    553,884.21x = 210,936,475,783.76
  5. Step 5: Solve for x
    x = 210,936,475,783.76/553,884.21
  6. Step 6: Final answer
    x = 380,831.36

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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.