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Finding the Fourth Proportional to 459,994, 689,991 and 127,570

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Solution

The fourth proportional to 459,994, 689,991 and 127,570 is: 191,355

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,994 : 689,991 = 127,570 : x
  2. Step 2: Convert to fraction form
    459,994/689,991 = 127,570/x
  3. Step 3: Cross multiply
    459,994x = 689,991 × 127,570
  4. Step 4: Simplify right side
    459,994x = 88,022,151,870
  5. Step 5: Solve for x
    x = 88,022,151,870/459,994
  6. Step 6: Final answer
    x = 191,355

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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.