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Finding the Fourth Proportional to 212,669.60, 319,004.88 and 199,678.88

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Solution

The fourth proportional to 212,669.60, 319,004.88 and 199,678.88 is: 299,518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,669.60 : 319,004.88 = 199,678.88 : x
  2. Step 2: Convert to fraction form
    212,669.60/319,004.88 = 199,678.88/x
  3. Step 3: Cross multiply
    212,669.60x = 319,004.88 × 199,678.88
  4. Step 4: Simplify right side
    212,669.60x = 63,698,537,152.93
  5. Step 5: Solve for x
    x = 63,698,537,152.93/212,669.60
  6. Step 6: Final answer
    x = 299,518.77

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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.