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Finding the Fourth Proportional to 282,630.40, 423,945.60 and 274,438.40

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Solution

The fourth proportional to 282,630.40, 423,945.60 and 274,438.40 is: 411,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,630.40 : 423,945.60 = 274,438.40 : x
  2. Step 2: Convert to fraction form
    282,630.40/423,945.60 = 274,438.40/x
  3. Step 3: Cross multiply
    282,630.40x = 423,945.60 × 274,438.40
  4. Step 4: Simplify right side
    282,630.40x = 116,346,952,151.04
  5. Step 5: Solve for x
    x = 116,346,952,151.04/282,630.40
  6. Step 6: Final answer
    x = 411,657.60

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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.