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Finding the Fourth Proportional to 438,415.80, 657,623.70 and 296,698.20

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Solution

The fourth proportional to 438,415.80, 657,623.70 and 296,698.20 is: 445,047.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,415.80 : 657,623.70 = 296,698.20 : x
  2. Step 2: Convert to fraction form
    438,415.80/657,623.70 = 296,698.20/x
  3. Step 3: Cross multiply
    438,415.80x = 657,623.70 × 296,698.20
  4. Step 4: Simplify right side
    438,415.80x = 195,115,768,067.34
  5. Step 5: Solve for x
    x = 195,115,768,067.34/438,415.80
  6. Step 6: Final answer
    x = 445,047.30

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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.