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Finding the Fourth Proportional to 488,205.70, 684,421.10 and 488,205.70

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Solution

The fourth proportional to 488,205.70, 684,421.10 and 488,205.70 is: 684,421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,205.70 : 684,421.10 = 488,205.70 : x
  2. Step 2: Convert to fraction form
    488,205.70/684,421.10 = 488,205.70/x
  3. Step 3: Cross multiply
    488,205.70x = 684,421.10 × 488,205.70
  4. Step 4: Simplify right side
    488,205.70x = 334,138,282,220.27
  5. Step 5: Solve for x
    x = 334,138,282,220.27/488,205.70
  6. Step 6: Final answer
    x = 684,421.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.