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Finding the Fourth Proportional to 859,531,520.90, 1,289,297,281.35 and 859,531,520.90

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Solution

The fourth proportional to 859,531,520.90, 1,289,297,281.35 and 859,531,520.90 is: 1,289,297,281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,531,520.90 : 1,289,297,281.35 = 859,531,520.90 : x
  2. Step 2: Convert to fraction form
    859,531,520.90/1,289,297,281.35 = 859,531,520.90/x
  3. Step 3: Cross multiply
    859,531,520.90x = 1,289,297,281.35 × 859,531,520.90
  4. Step 4: Simplify right side
    859,531,520.90x = 1,108,191,653,131,000,576
  5. Step 5: Solve for x
    x = 1,108,191,653,131,000,576/859,531,520.90
  6. Step 6: Final answer
    x = 1,289,297,281.35

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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.