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Finding the Fourth Proportional to 382,771.52, 528,318.48 and 296,560

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Solution

The fourth proportional to 382,771.52, 528,318.48 and 296,560 is: 409,325.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,771.52 : 528,318.48 = 296,560 : x
  2. Step 2: Convert to fraction form
    382,771.52/528,318.48 = 296,560/x
  3. Step 3: Cross multiply
    382,771.52x = 528,318.48 × 296,560
  4. Step 4: Simplify right side
    382,771.52x = 156,678,128,428.80
  5. Step 5: Solve for x
    x = 156,678,128,428.80/382,771.52
  6. Step 6: Final answer
    x = 409,325.46

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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.