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Finding the Fourth Proportional to 605,715.12, 835,829.73 and 357,318.32

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Solution

The fourth proportional to 605,715.12, 835,829.73 and 357,318.32 is: 493,065.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,715.12 : 835,829.73 = 357,318.32 : x
  2. Step 2: Convert to fraction form
    605,715.12/835,829.73 = 357,318.32/x
  3. Step 3: Cross multiply
    605,715.12x = 835,829.73 × 357,318.32
  4. Step 4: Simplify right side
    605,715.12x = 298,657,270,750.51
  5. Step 5: Solve for x
    x = 298,657,270,750.51/605,715.12
  6. Step 6: Final answer
    x = 493,065.57

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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.