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Finding the Fourth Proportional to 319,271.60, 478,907.40 and 194,855.60

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Solution

The fourth proportional to 319,271.60, 478,907.40 and 194,855.60 is: 292,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,271.60 : 478,907.40 = 194,855.60 : x
  2. Step 2: Convert to fraction form
    319,271.60/478,907.40 = 194,855.60/x
  3. Step 3: Cross multiply
    319,271.60x = 478,907.40 × 194,855.60
  4. Step 4: Simplify right side
    319,271.60x = 93,317,788,771.44
  5. Step 5: Solve for x
    x = 93,317,788,771.44/319,271.60
  6. Step 6: Final answer
    x = 292,283.40

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1.5x scale

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.