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Finding the Fourth Proportional to 280,270,363.80, 420,405,545.70 and 266,240,321.40

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Solution

The fourth proportional to 280,270,363.80, 420,405,545.70 and 266,240,321.40 is: 399,360,482.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,270,363.80 : 420,405,545.70 = 266,240,321.40 : x
  2. Step 2: Convert to fraction form
    280,270,363.80/420,405,545.70 = 266,240,321.40/x
  3. Step 3: Cross multiply
    280,270,363.80x = 420,405,545.70 × 266,240,321.40
  4. Step 4: Simplify right side
    280,270,363.80x = 111,928,907,605,510,384
  5. Step 5: Solve for x
    x = 111,928,907,605,510,384/280,270,363.80
  6. Step 6: Final answer
    x = 399,360,482.10

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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.