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Finding the Fourth Proportional to 289,076.64, 433,507.20 and 99,484.02

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Solution

The fourth proportional to 289,076.64, 433,507.20 and 99,484.02 is: 149,188.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,076.64 : 433,507.20 = 99,484.02 : x
  2. Step 2: Convert to fraction form
    289,076.64/433,507.20 = 99,484.02/x
  3. Step 3: Cross multiply
    289,076.64x = 433,507.20 × 99,484.02
  4. Step 4: Simplify right side
    289,076.64x = 43,127,038,954.94
  5. Step 5: Solve for x
    x = 43,127,038,954.94/289,076.64
  6. Step 6: Final answer
    x = 149,188.95

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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.