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Finding the Fourth Proportional to 459,780, 689,179.20 and 222,602.40

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Solution

The fourth proportional to 459,780, 689,179.20 and 222,602.40 is: 333,665.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,780 : 689,179.20 = 222,602.40 : x
  2. Step 2: Convert to fraction form
    459,780/689,179.20 = 222,602.40/x
  3. Step 3: Cross multiply
    459,780x = 689,179.20 × 222,602.40
  4. Step 4: Simplify right side
    459,780x = 153,412,943,950.08
  5. Step 5: Solve for x
    x = 153,412,943,950.08/459,780
  6. Step 6: Final answer
    x = 333,665.98

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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.