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Finding the Fourth Proportional to 339,931.60, 509,897.40 and 318,936.40

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Solution

The fourth proportional to 339,931.60, 509,897.40 and 318,936.40 is: 478,404.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,931.60 : 509,897.40 = 318,936.40 : x
  2. Step 2: Convert to fraction form
    339,931.60/509,897.40 = 318,936.40/x
  3. Step 3: Cross multiply
    339,931.60x = 509,897.40 × 318,936.40
  4. Step 4: Simplify right side
    339,931.60x = 162,624,841,125.36
  5. Step 5: Solve for x
    x = 162,624,841,125.36/339,931.60
  6. Step 6: Final answer
    x = 478,404.60

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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.