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Finding the Fourth Proportional to 280,422,068.10, 420,633,102.15 and 280,422,068.10

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Solution

The fourth proportional to 280,422,068.10, 420,633,102.15 and 280,422,068.10 is: 420,633,102.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,422,068.10 : 420,633,102.15 = 280,422,068.10 : x
  2. Step 2: Convert to fraction form
    280,422,068.10/420,633,102.15 = 280,422,068.10/x
  3. Step 3: Cross multiply
    280,422,068.10x = 420,633,102.15 × 280,422,068.10
  4. Step 4: Simplify right side
    280,422,068.10x = 117,954,804,416,221,552
  5. Step 5: Solve for x
    x = 117,954,804,416,221,552/280,422,068.10
  6. Step 6: Final answer
    x = 420,633,102.15

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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.