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Finding the Fourth Proportional to 219,946.42, 330,152.93 and 194,809.12

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Solution

The fourth proportional to 219,946.42, 330,152.93 and 194,809.12 is: 292,420.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,946.42 : 330,152.93 = 194,809.12 : x
  2. Step 2: Convert to fraction form
    219,946.42/330,152.93 = 194,809.12/x
  3. Step 3: Cross multiply
    219,946.42x = 330,152.93 × 194,809.12
  4. Step 4: Simplify right side
    219,946.42x = 64,316,800,689.83
  5. Step 5: Solve for x
    x = 64,316,800,689.83/219,946.42
  6. Step 6: Final answer
    x = 292,420.31

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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.