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Finding the Fourth Proportional to 659,884.50, 910,643.04 and 358,078.50

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Solution

The fourth proportional to 659,884.50, 910,643.04 and 358,078.50 is: 494,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,884.50 : 910,643.04 = 358,078.50 : x
  2. Step 2: Convert to fraction form
    659,884.50/910,643.04 = 358,078.50/x
  3. Step 3: Cross multiply
    659,884.50x = 910,643.04 × 358,078.50
  4. Step 4: Simplify right side
    659,884.50x = 326,081,693,798.64
  5. Step 5: Solve for x
    x = 326,081,693,798.64/659,884.50
  6. Step 6: Final answer
    x = 494,149.65

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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.