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Finding the Fourth Proportional to 459,042.60, 688,563.90 and 206,225.40

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Solution

The fourth proportional to 459,042.60, 688,563.90 and 206,225.40 is: 309,338.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,042.60 : 688,563.90 = 206,225.40 : x
  2. Step 2: Convert to fraction form
    459,042.60/688,563.90 = 206,225.40/x
  3. Step 3: Cross multiply
    459,042.60x = 688,563.90 × 206,225.40
  4. Step 4: Simplify right side
    459,042.60x = 141,999,365,703.06
  5. Step 5: Solve for x
    x = 141,999,365,703.06/459,042.60
  6. Step 6: Final answer
    x = 309,338.10

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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.