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Finding the Fourth Proportional to 659,665.84, 910,338.60 and 357,859.84

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Solution

The fourth proportional to 659,665.84, 910,338.60 and 357,859.84 is: 493,846.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,665.84 : 910,338.60 = 357,859.84 : x
  2. Step 2: Convert to fraction form
    659,665.84/910,338.60 = 357,859.84/x
  3. Step 3: Cross multiply
    659,665.84x = 910,338.60 × 357,859.84
  4. Step 4: Simplify right side
    659,665.84x = 325,773,625,741.82
  5. Step 5: Solve for x
    x = 325,773,625,741.82/659,665.84
  6. Step 6: Final answer
    x = 493,846.44

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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.