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Finding the Fourth Proportional to 670,149.84, 1,005,222.72 and 270,786

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Solution

The fourth proportional to 670,149.84, 1,005,222.72 and 270,786 is: 406,178.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,149.84 : 1,005,222.72 = 270,786 : x
  2. Step 2: Convert to fraction form
    670,149.84/1,005,222.72 = 270,786/x
  3. Step 3: Cross multiply
    670,149.84x = 1,005,222.72 × 270,786
  4. Step 4: Simplify right side
    670,149.84x = 272,200,239,457.92
  5. Step 5: Solve for x
    x = 272,200,239,457.92/670,149.84
  6. Step 6: Final answer
    x = 406,178.18

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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.