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Finding the Fourth Proportional to 659,459.40, 910,059.75 and 357,653.40

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Solution

The fourth proportional to 659,459.40, 910,059.75 and 357,653.40 is: 493,564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,459.40 : 910,059.75 = 357,653.40 : x
  2. Step 2: Convert to fraction form
    659,459.40/910,059.75 = 357,653.40/x
  3. Step 3: Cross multiply
    659,459.40x = 910,059.75 × 357,653.40
  4. Step 4: Simplify right side
    659,459.40x = 325,485,963,790.65
  5. Step 5: Solve for x
    x = 325,485,963,790.65/659,459.40
  6. Step 6: Final answer
    x = 493,564.83

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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.