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Finding the Fourth Proportional to 280,573,986.80, 420,860,980.20 and 275,791,017.80

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Solution

The fourth proportional to 280,573,986.80, 420,860,980.20 and 275,791,017.80 is: 413,686,526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,573,986.80 : 420,860,980.20 = 275,791,017.80 : x
  2. Step 2: Convert to fraction form
    280,573,986.80/420,860,980.20 = 275,791,017.80/x
  3. Step 3: Cross multiply
    280,573,986.80x = 420,860,980.20 × 275,791,017.80
  4. Step 4: Simplify right side
    280,573,986.80x = 116,069,678,081,663,648
  5. Step 5: Solve for x
    x = 116,069,678,081,663,648/280,573,986.80
  6. Step 6: Final answer
    x = 413,686,526.70

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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.