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Finding the Fourth Proportional to 362,808.48, 500,501.52 and 312,420

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Solution

The fourth proportional to 362,808.48, 500,501.52 and 312,420 is: 430,989.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,808.48 : 500,501.52 = 312,420 : x
  2. Step 2: Convert to fraction form
    362,808.48/500,501.52 = 312,420/x
  3. Step 3: Cross multiply
    362,808.48x = 500,501.52 × 312,420
  4. Step 4: Simplify right side
    362,808.48x = 156,366,684,878.40
  5. Step 5: Solve for x
    x = 156,366,684,878.40/362,808.48
  6. Step 6: Final answer
    x = 430,989.61

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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.