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Finding the Fourth Proportional to 313,995.30, 433,323.26 and 178,034.98

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Solution

The fourth proportional to 313,995.30, 433,323.26 and 178,034.98 is: 245,693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,995.30 : 433,323.26 = 178,034.98 : x
  2. Step 2: Convert to fraction form
    313,995.30/433,323.26 = 178,034.98/x
  3. Step 3: Cross multiply
    313,995.30x = 433,323.26 × 178,034.98
  4. Step 4: Simplify right side
    313,995.30x = 77,146,697,927.63
  5. Step 5: Solve for x
    x = 77,146,697,927.63/313,995.30
  6. Step 6: Final answer
    x = 245,693.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.