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Finding the Fourth Proportional to 280,435.40, 420,653.10 and 162,337.40

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Solution

The fourth proportional to 280,435.40, 420,653.10 and 162,337.40 is: 243,506.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,435.40 : 420,653.10 = 162,337.40 : x
  2. Step 2: Convert to fraction form
    280,435.40/420,653.10 = 162,337.40/x
  3. Step 3: Cross multiply
    280,435.40x = 420,653.10 × 162,337.40
  4. Step 4: Simplify right side
    280,435.40x = 68,287,730,555.94
  5. Step 5: Solve for x
    x = 68,287,730,555.94/280,435.40
  6. Step 6: Final answer
    x = 243,506.10

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1.5x scale

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.