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Finding the Fourth Proportional to 468,102.64, 645,980.76 and 253,242.88

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Solution

The fourth proportional to 468,102.64, 645,980.76 and 253,242.88 is: 349,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,102.64 : 645,980.76 = 253,242.88 : x
  2. Step 2: Convert to fraction form
    468,102.64/645,980.76 = 253,242.88/x
  3. Step 3: Cross multiply
    468,102.64x = 645,980.76 × 253,242.88
  4. Step 4: Simplify right side
    468,102.64x = 163,590,028,086.99
  5. Step 5: Solve for x
    x = 163,590,028,086.99/468,102.64
  6. Step 6: Final answer
    x = 349,474.70

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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.