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Finding the Fourth Proportional to 488,206.20, 684,421.80 and 488,206.20

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Solution

The fourth proportional to 488,206.20, 684,421.80 and 488,206.20 is: 684,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,206.20 : 684,421.80 = 488,206.20 : x
  2. Step 2: Convert to fraction form
    488,206.20/684,421.80 = 488,206.20/x
  3. Step 3: Cross multiply
    488,206.20x = 684,421.80 × 488,206.20
  4. Step 4: Simplify right side
    488,206.20x = 334,138,966,175.16
  5. Step 5: Solve for x
    x = 334,138,966,175.16/488,206.20
  6. Step 6: Final answer
    x = 684,421.80

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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.