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Finding the Fourth Proportional to 282,651.40, 423,977.10 and 274,459.40

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Solution

The fourth proportional to 282,651.40, 423,977.10 and 274,459.40 is: 411,689.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,651.40 : 423,977.10 = 274,459.40 : x
  2. Step 2: Convert to fraction form
    282,651.40/423,977.10 = 274,459.40/x
  3. Step 3: Cross multiply
    282,651.40x = 423,977.10 × 274,459.40
  4. Step 4: Simplify right side
    282,651.40x = 116,364,500,479.74
  5. Step 5: Solve for x
    x = 116,364,500,479.74/282,651.40
  6. Step 6: Final answer
    x = 411,689.10

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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.