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Finding the Fourth Proportional to 659,655.21, 910,325.94 and 357,849.21

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Solution

The fourth proportional to 659,655.21, 910,325.94 and 357,849.21 is: 493,832.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,655.21 : 910,325.94 = 357,849.21 : x
  2. Step 2: Convert to fraction form
    659,655.21/910,325.94 = 357,849.21/x
  3. Step 3: Cross multiply
    659,655.21x = 910,325.94 × 357,849.21
  4. Step 4: Simplify right side
    659,655.21x = 325,759,418,471.51
  5. Step 5: Solve for x
    x = 325,759,418,471.51/659,655.21
  6. Step 6: Final answer
    x = 493,832.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.