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Finding the Fourth Proportional to 687,312.96, 948,428.64 and 385,448.64

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Solution

The fourth proportional to 687,312.96, 948,428.64 and 385,448.64 is: 531,883.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,312.96 : 948,428.64 = 385,448.64 : x
  2. Step 2: Convert to fraction form
    687,312.96/948,428.64 = 385,448.64/x
  3. Step 3: Cross multiply
    687,312.96x = 948,428.64 × 385,448.64
  4. Step 4: Simplify right side
    687,312.96x = 365,570,529,425.05
  5. Step 5: Solve for x
    x = 365,570,529,425.05/687,312.96
  6. Step 6: Final answer
    x = 531,883.66

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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.