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Finding the Fourth Proportional to 280,543.70, 420,815.55 and 175,567.70

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Solution

The fourth proportional to 280,543.70, 420,815.55 and 175,567.70 is: 263,351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,543.70 : 420,815.55 = 175,567.70 : x
  2. Step 2: Convert to fraction form
    280,543.70/420,815.55 = 175,567.70/x
  3. Step 3: Cross multiply
    280,543.70x = 420,815.55 × 175,567.70
  4. Step 4: Simplify right side
    280,543.70x = 73,881,618,237.74
  5. Step 5: Solve for x
    x = 73,881,618,237.74/280,543.70
  6. Step 6: Final answer
    x = 263,351.55

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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.