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Finding the Fourth Proportional to 612,164, 917,720.10 and 212,752.88

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Solution

The fourth proportional to 612,164, 917,720.10 and 212,752.88 is: 318,946.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,164 : 917,720.10 = 212,752.88 : x
  2. Step 2: Convert to fraction form
    612,164/917,720.10 = 212,752.88/x
  3. Step 3: Cross multiply
    612,164x = 917,720.10 × 212,752.88
  4. Step 4: Simplify right side
    612,164x = 195,247,594,308.89
  5. Step 5: Solve for x
    x = 195,247,594,308.89/612,164
  6. Step 6: Final answer
    x = 318,946.55

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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.