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Finding the Fourth Proportional to 459,009.60, 688,514.40 and 206,192.40

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Solution

The fourth proportional to 459,009.60, 688,514.40 and 206,192.40 is: 309,288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,009.60 : 688,514.40 = 206,192.40 : x
  2. Step 2: Convert to fraction form
    459,009.60/688,514.40 = 206,192.40/x
  3. Step 3: Cross multiply
    459,009.60x = 688,514.40 × 206,192.40
  4. Step 4: Simplify right side
    459,009.60x = 141,966,436,570.56
  5. Step 5: Solve for x
    x = 141,966,436,570.56/459,009.60
  6. Step 6: Final answer
    x = 309,288.60

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1.5x scale

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.