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Finding the Fourth Proportional to 446,996.78, 670,535.70 and 147,478.22

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Solution

The fourth proportional to 446,996.78, 670,535.70 and 147,478.22 is: 221,230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,996.78 : 670,535.70 = 147,478.22 : x
  2. Step 2: Convert to fraction form
    446,996.78/670,535.70 = 147,478.22/x
  3. Step 3: Cross multiply
    446,996.78x = 670,535.70 × 147,478.22
  4. Step 4: Simplify right side
    446,996.78x = 98,889,411,482.45
  5. Step 5: Solve for x
    x = 98,889,411,482.45/446,996.78
  6. Step 6: Final answer
    x = 221,230.70

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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.