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Finding the Fourth Proportional to 610,655.64, 916,066.64 and 211,189.20

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Solution

The fourth proportional to 610,655.64, 916,066.64 and 211,189.20 is: 316,812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,655.64 : 916,066.64 = 211,189.20 : x
  2. Step 2: Convert to fraction form
    610,655.64/916,066.64 = 211,189.20/x
  3. Step 3: Cross multiply
    610,655.64x = 916,066.64 × 211,189.20
  4. Step 4: Simplify right side
    610,655.64x = 193,463,380,848.29
  5. Step 5: Solve for x
    x = 193,463,380,848.29/610,655.64
  6. Step 6: Final answer
    x = 316,812.57

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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.