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Finding the Fourth Proportional to 280,320,070.80, 420,480,106.20 and 280,320,070.80

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Solution

The fourth proportional to 280,320,070.80, 420,480,106.20 and 280,320,070.80 is: 420,480,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,320,070.80 : 420,480,106.20 = 280,320,070.80 : x
  2. Step 2: Convert to fraction form
    280,320,070.80/420,480,106.20 = 280,320,070.80/x
  3. Step 3: Cross multiply
    280,320,070.80x = 420,480,106.20 × 280,320,070.80
  4. Step 4: Simplify right side
    280,320,070.80x = 117,869,013,139,975,520
  5. Step 5: Solve for x
    x = 117,869,013,139,975,520/280,320,070.80
  6. Step 6: Final answer
    x = 420,480,106.20

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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.