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Finding the Fourth Proportional to 318,952, 478,428 and 131,968.36

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Solution

The fourth proportional to 318,952, 478,428 and 131,968.36 is: 197,952.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,952 : 478,428 = 131,968.36 : x
  2. Step 2: Convert to fraction form
    318,952/478,428 = 131,968.36/x
  3. Step 3: Cross multiply
    318,952x = 478,428 × 131,968.36
  4. Step 4: Simplify right side
    318,952x = 63,137,358,538.08
  5. Step 5: Solve for x
    x = 63,137,358,538.08/318,952
  6. Step 6: Final answer
    x = 197,952.54

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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.