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Finding the Fourth Proportional to 611,543.10, 917,085 and 212,087.54

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Solution

The fourth proportional to 611,543.10, 917,085 and 212,087.54 is: 318,051.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,543.10 : 917,085 = 212,087.54 : x
  2. Step 2: Convert to fraction form
    611,543.10/917,085 = 212,087.54/x
  3. Step 3: Cross multiply
    611,543.10x = 917,085 × 212,087.54
  4. Step 4: Simplify right side
    611,543.10x = 194,502,301,620.90
  5. Step 5: Solve for x
    x = 194,502,301,620.90/611,543.10
  6. Step 6: Final answer
    x = 318,051.67

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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.