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Finding the Fourth Proportional to 318,952.09, 478,428.80 and 299,465.89

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Solution

The fourth proportional to 318,952.09, 478,428.80 and 299,465.89 is: 449,199.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,952.09 : 478,428.80 = 299,465.89 : x
  2. Step 2: Convert to fraction form
    318,952.09/478,428.80 = 299,465.89/x
  3. Step 3: Cross multiply
    318,952.09x = 478,428.80 × 299,465.89
  4. Step 4: Simplify right side
    318,952.09x = 143,273,106,393.63
  5. Step 5: Solve for x
    x = 143,273,106,393.63/318,952.09
  6. Step 6: Final answer
    x = 449,199.46

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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.