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Finding the Fourth Proportional to 380,298.96, 569,628.36 and 357,941.07

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Solution

The fourth proportional to 380,298.96, 569,628.36 and 357,941.07 is: 536,139.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,298.96 : 569,628.36 = 357,941.07 : x
  2. Step 2: Convert to fraction form
    380,298.96/569,628.36 = 357,941.07/x
  3. Step 3: Cross multiply
    380,298.96x = 569,628.36 × 357,941.07
  4. Step 4: Simplify right side
    380,298.96x = 203,893,384,680.75
  5. Step 5: Solve for x
    x = 203,893,384,680.75/380,298.96
  6. Step 6: Final answer
    x = 536,139.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.