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Finding the Fourth Proportional to 1,000,566.84, 1,500,823.05 and 280,914.55

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Solution

The fourth proportional to 1,000,566.84, 1,500,823.05 and 280,914.55 is: 421,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,566.84 : 1,500,823.05 = 280,914.55 : x
  2. Step 2: Convert to fraction form
    1,000,566.84/1,500,823.05 = 280,914.55/x
  3. Step 3: Cross multiply
    1,000,566.84x = 1,500,823.05 × 280,914.55
  4. Step 4: Simplify right side
    1,000,566.84x = 421,603,031,720.38
  5. Step 5: Solve for x
    x = 421,603,031,720.38/1,000,566.84
  6. Step 6: Final answer
    x = 421,364.19

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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.